# bibtab

bibtype: article
filename: elefunt.bib
label: Campbell:1986:NSR
author: R. A. Campbell
title: NS32000 Square Roots
journal: j-DDJ
volume: 11
number: 3
pages: 122--123, 106
month: mar
monthnumber: 3
year: 1986
CODEN: DDJOEB
ISSN: 1044-789X OR 1044789X
bibdate: Fri Dec 08 13:05:56 1995
bibtimestamp: 1995.12.08 13:05:56 ???
fjournal: Dr. Dobb's Journal of Software Tools
acknowledgement: ack-nj
rawauthor: R. A. Campbell
rawtitle: {NS32000} Square Roots
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Campbell:1986:NSR,
  author =       "R. A. Campbell",
  title =        "{NS32000} Square Roots",
  journal =      j-DDJ,
  volume =       "11",
  number =       "3",
  pages =        "122--123, 106",
  month =        mar,
  year =         "1986",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Fri Dec 08 13:05:56 1995",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  fjournal =     "Dr. Dobb's Journal of Software Tools",
}


bibtype: article
filename: elefunt.bib
label: Cathey:1986:LEI
author: J. Cathey
title: Letter to the editor [Integer Square Root]
journal: j-DDJ
volume: 11
number: 8
pages: 14, 82--85
month: aug
monthnumber: 8
year: 1986
CODEN: DDJOEB
ISSN: 1044-789X OR 1044789X
bibdate: Thu Sep 08 07:59:25 1994
bibtimestamp: 1994.09.08 07:59:25 ???
fjournal: Dr. Dobb's Journal of Software Tools
acknowledgement: ack-nj
rawauthor: J. Cathey
rawtitle: Letter to the editor [Integer Square Root]
bibsource:
http://www.ddj.com/index/author/index.htm; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Cathey:1986:LEI,
  author =       "J. Cathey",
  title =        "Letter to the editor [Integer Square Root]",
  journal =      j-DDJ,
  volume =       "11",
  number =       "8",
  pages =        "14, 82--85",
  month =        aug,
  year =         "1986",
  CODEN =        "DDJOEB",
  ISSN =         "1044-789X",
  bibdate =      "Thu Sep 08 07:59:25 1994",
  bibsource =    "http://www.ddj.com/index/author/index.htm;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  acknowledgement = ack-nj,
  fjournal =     "Dr. Dobb's Journal of Software Tools",
}


bibtype: article
filename: elefunt.bib
label: Clenshaw:1986:GEL
author: C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver and P. R. Turner
title: Generalized Exponential and Logarithmic Functions
journal: j-COMPUT-MATH-APPL
volume: 12
number: 5--6
pages: 1091--1101
month: sep
monthnumber: 9
year: 1986
CODEN: CMAPDK
DOI: https://doi.org/10.1016/0898-1221(86)90233-6
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
MRclass: 33A70 (39B10 65G05)
MRnumber: MR0871348 (88a:33027)
bibdate: Fri Jul 09 06:27:26 2004
bibtimestamp: 2004.07.09 06:27:26 ???
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/08981221
rawauthor: C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver and P. R. Turner
rawtitle: Generalized Exponential and Logarithmic Functions
abstract:
Generalizations of the exponential and logarithmic functions are defined and an investigation is made of two possible versions of these functions. Some applications are described, including computer arithmetic, properties of very large and very small numbers, and the determination of functional roots.

rawabstract:
Generalizations of the exponential and logarithmic functions are defined and an investigation is made of two possible versions of these functions. Some applications are described, including computer arithmetic, properties of very large and very small numbers, and the determination of functional roots.

entry:
@Article{Clenshaw:1986:GEL,
  author =       "C. W. Clenshaw and Daniel W. Lozier and F. W. J. Olver
                 and P. R. Turner",
  title =        "Generalized Exponential and Logarithmic Functions",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "12",
  number =       "5--6",
  pages =        "1091--1101",
  month =        sep # "\slash " # dec,
  year =         "1986",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(86)90233-6",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  MRclass =      "33A70 (39B10 65G05)",
  MRnumber =     "MR0871348 (88a:33027)",
  bibdate =      "Fri Jul 09 06:27:26 2004",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  abstract =     "Generalizations of the exponential and logarithmic
                 functions are defined and an investigation is made of
                 two possible versions of these functions. Some
                 applications are described, including computer
                 arithmetic, properties of very large and very small
                 numbers, and the determination of functional roots.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
}


bibtype: article
filename: elefunt.bib
label: Clenshaw:1986:UAR
author: C. W. Clenshaw and F. W. J. Olver
title: Unrestricted algorithms for reciprocals and square roots
journal: j-BIT
volume: 26
number: 4
pages: 475--492
month: dec
monthnumber: 12
year: 1986
CODEN: BITTEL, NBITAB
DOI: https://doi.org/10.1007/BF01935054
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
MRclass: 65D20
MRnumber: 87k:65019
MRreviewer: Luciano Biasini
bibdate: Wed Jan 4 18:52:19 MST 2006
bibtimestamp: 2006.01.04 18:52:19 MST
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=4&spage=475
fjournal: BIT (Nordisk tidskrift for informationsbehandling)
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10543
rawauthor: C. W. Clenshaw and F. W. J. Olver
rawtitle: Unrestricted algorithms for reciprocals and square roots
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=4; https://www.math.utah.edu/pub/tex/bib/bit.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Clenshaw:1986:UAR,
  author =       "C. W. Clenshaw and F. W. J. Olver",
  title =        "Unrestricted algorithms for reciprocals and square
                 roots",
  journal =      j-BIT,
  volume =       "26",
  number =       "4",
  pages =        "475--492",
  month =        dec,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/BF01935054",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D20",
  MRnumber =     "87k:65019",
  MRreviewer =   "Luciano Biasini",
  bibdate =      "Wed Jan 4 18:52:19 MST 2006",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=26&issue=4;
                 https://www.math.utah.edu/pub/tex/bib/bit.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=26&issue=4&spage=475",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  journal-URL =  "http://link.springer.com/journal/10543",
  xxpages =      "476--492??",
}


bibtype: article
filename: elefunt.bib
label: DiDonato:1986:CIG
author: Armido R. DiDonato and Alfred H. Morris, Jr.
title: Computation of the Incomplete Gamma Function Ratios and Their Inverse
journal: j-TOMS
volume: 12
number: 4
pages: 377--393
month: dec
monthnumber: 12
year: 1986
CODEN: ACMSCU
DOI: https://doi.org/10.1145/22721.23109
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Sun Sep 04 21:31:03 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib
bibtimestamp: 1994.09.04 21:31:03 ???
URL: http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p377-didonato/
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms
subject: bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation.
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Armido R. DiDonato and Alfred H. {Morris, Jr.}
rawtitle: Computation of the Incomplete Gamma Function Ratios and Their Inverse
abstract:
An algorithm is given for computing the incomplete gamma function ratios $ P(a, x) $ and $ Q(a, x) $ for $ a geq 0 $, $ x geq 0 $, $ a + x neq 0 $. Temme's uniform asymptotic expansions are used. The algorithm is robust; results accurate to 14 significant digits can be obtained. An extensive set of coefficients for the Temme expansions is included.par An algorithm, employing third-order Schroder iteration supported by Newton-Raphson iteration, is provided for computing $x$ when $a$, $ P(a, x) $, and $ Q(a, x) $ are given. Three iterations at most are required to obtain 10 significant digit accuracy for $x$.

rawabstract:
An algorithm is given for computing the incomplete gamma function ratios $ P(a, x) $ and $ Q(a, x) $ for $ a \geq 0 $, $ x \geq 0 $, $ a + x \neq 0 $. Temme's uniform asymptotic expansions are used. The algorithm is robust; results accurate to 14 significant digits can be obtained. An extensive set of coefficients for the Temme expansions is included.\par An algorithm, employing third-order Schr{\"o}der iteration supported by Newton-Raphson iteration, is provided for computing $x$ when $a$, $ P(a, x) $, and $ Q(a, x) $ are given. Three iterations at most are required to obtain 10 significant digit accuracy for $x$.

entry:
@Article{DiDonato:1986:CIG,
  author =       "Armido R. DiDonato and Alfred H. {Morris, Jr.}",
  title =        "Computation of the Incomplete Gamma Function Ratios
                 and Their Inverse",
  journal =      j-TOMS,
  volume =       "12",
  number =       "4",
  pages =        "377--393",
  month =        dec,
  year =         "1986",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/22721.23109",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Sep 04 21:31:03 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1986-12-4/p377-didonato/",
  abstract =     "An algorithm is given for computing the incomplete
                 gamma function ratios $ P(a, x) $ and $ Q(a, x) $ for $
                 a \geq 0 $, $ x \geq 0 $, $ a + x \neq 0 $. Temme's
                 uniform asymptotic expansions are used. The algorithm
                 is robust; results accurate to 14 significant digits
                 can be obtained. An extensive set of coefficients for
                 the Temme expansions is included.\par

                 An algorithm, employing third-order Schr{\"o}der
                 iteration supported by Newton-Raphson iteration, is
                 provided for computing $x$ when $a$, $ P(a, x) $, and $
                 Q(a, x) $ are given. Three iterations at most are
                 required to obtain 10 significant digit accuracy for
                 $x$.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "algorithms",
  review =       "ACM CR 8709-0775",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation.",
}


bibtype: article
filename: elefunt.bib
label: DiMarzio:1986:IPA
author: F. Di Marzio
journal: j-COMP-PHYS-COMM
volume: 39
number: 3
pages: 343--345
month: apr
monthnumber: 4
year: 1986
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(86)90095-0
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:13 MST 2012
bibtimestamp: 2012.02.13 10:28:13 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465586900950
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: F. {Di Marzio}
title:
An improved procedure for the accurate evaluation of polygamma functions with integer and half-integer argument

rawtitle:
An improved procedure for the accurate evaluation of polygamma functions with integer and half-integer argument

entry:
@Article{DiMarzio:1986:IPA,
  author =       "F. {Di Marzio}",
  title =        "An improved procedure for the accurate evaluation of
                 polygamma functions with integer and half-integer
                 argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "39",
  number =       "3",
  pages =        "343--345",
  month =        apr,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(86)90095-0",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:13 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465586900950",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Dutka:1986:SRT
author: Jacques Dutka
title: On square roots and their representations
journal: j-ARCH-HIST-EXACT-SCI
volume: 36
number: 1
pages: 21--39
month: mar
monthnumber: 3
year: 1986
CODEN: AHESAN
DOI: https://doi.org/10.1007/BF00357439
ISSN: 0003-9519 (print), 1432-0657 (electronic) OR 00039519 (print), 14320657 (electronic)
ISSNL: 0003-9519 OR 00039519
MRclass: 01A05 (11-03 11A63)
MRnumber: 863340 (87m:01003)
MRreviewer: Donald Cook
bibdate: Fri Feb 4 21:50:24 MST 2011
bibtimestamp: 2011.02.04 21:50:24 MST
URL: http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=36&issue=1&spage=21
fjournal: Archive for History of Exact Sciences
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/407
rawauthor: Jacques Dutka
rawtitle: On square roots and their representations
bibsource:
http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=36&issue=1; https://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

entry:
@Article{Dutka:1986:SRT,
  author =       "Jacques Dutka",
  title =        "On square roots and their representations",
  journal =      j-ARCH-HIST-EXACT-SCI,
  volume =       "36",
  number =       "1",
  pages =        "21--39",
  month =        mar,
  year =         "1986",
  CODEN =        "AHESAN",
  DOI =          "https://doi.org/10.1007/BF00357439",
  ISSN =         "0003-9519 (print), 1432-0657 (electronic)",
  ISSN-L =       "0003-9519",
  MRclass =      "01A05 (11-03 11A63)",
  MRnumber =     "863340 (87m:01003)",
  MRreviewer =   "Donald Cook",
  bibdate =      "Fri Feb 4 21:50:24 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0003-9519&volume=36&issue=1;
                 https://www.math.utah.edu/pub/tex/bib/archhistexactsci.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0003-9519&volume=36&issue=1&spage=21",
  acknowledgement = ack-nhfb,
  fjournal =     "Archive for History of Exact Sciences",
  journal-URL =  "http://link.springer.com/journal/407",
  MRtitle =      "On square roots and their representations",
}


bibtype: article
filename: elefunt.bib
label: Evans:1986:RIU
author: D. J. Evans and G. M. Megson
title: Romberg integration using systolic arrays
journal: j-PARALLEL-COMPUTING
volume: 3
number: 4
pages: 289--304
month: oct
monthnumber: 10
year: 1986
CODEN: PACOEJ
ISSN: 0167-8191 (print), 1872-7336 (electronic) OR 01678191 (print), 18727336 (electronic)
ISSNL: 0167-8191 OR 01678191
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Parallel Computing
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/01678191
rawauthor: D. J. Evans and G. M. Megson
rawtitle: {Romberg} integration using systolic arrays
entry:
@Article{Evans:1986:RIU,
  author =       "D. J. Evans and G. M. Megson",
  title =        "{Romberg} integration using systolic arrays",
  journal =      j-PARALLEL-COMPUTING,
  volume =       "3",
  number =       "4",
  pages =        "289--304",
  month =        oct,
  year =         "1986",
  CODEN =        "PACOEJ",
  ISSN =         "0167-8191 (print), 1872-7336 (electronic)",
  ISSN-L =       "0167-8191",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "11019",
  catcode =      "G.1.1; G.1.2",
  CRclass =      "G.1.1 Interpolation; G.1.1 Extrapolation; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Extrapolation; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  fjournal =     "Parallel Computing",
  genterm =      "theory; design; algorithms",
  guideno =      "1986-10554",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01678191",
  journalabbrev = "Parallel Comput.",
  jrldate =      "Oct. 1986",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: FernandezVelicia:1986:HPA
author: F. J. Fernandez Velicia
journal: j-PHYS-REV-A-3
volume: 34
number: 5
pages: 4387--4395
year: 1986
CODEN: PLRAAN
MRclass: 33A70 (82A05)
MRnumber: MR869021 (88b:33024)
bibdate: Wed Apr 13 06:46:35 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.13 06:46:35 ???
fjournal: Physical Review. A. Third Series
acknowledgement: ack-nhfb
journalURL: http://pra.aps.org/browse
rawauthor: F. J. {Fern{\'a}ndez Velicia}
title:
High-precision analytic approximations for the Fermi--Dirac functions by means of elementary functions

ISSN:
1050-2947 (print), 1094-1622, 1538-4446, 1538-4519 OR 10502947 (print), 10941622, 15384446, 15384519

rawtitle:
High-precision analytic approximations for the {Fermi--Dirac} functions by means of elementary functions

entry:
@Article{FernandezVelicia:1986:HPA,
  author =       "F. J. {Fern{\'a}ndez Velicia}",
  title =        "High-precision analytic approximations for the
                 {Fermi--Dirac} functions by means of elementary
                 functions",
  journal =      j-PHYS-REV-A-3,
  volume =       "34",
  number =       "5",
  pages =        "4387--4395",
  year =         "1986",
  CODEN =        "PLRAAN",
  ISSN =         "1050-2947 (print), 1094-1622, 1538-4446, 1538-4519",
  MRclass =      "33A70 (82A05)",
  MRnumber =     "MR869021 (88b:33024)",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physical Review. A. Third Series",
  journal-URL =  "http://pra.aps.org/browse",
}


bibtype: article
filename: elefunt.bib
label: Froman:1986:PIF
author: Per Olof Froman and Finn Karlsson and Staffan Yngve
journal: j-J-MATH-PHYS
volume: 27
number: 11
pages: 2738--2747
month: nov
monthnumber: 11
year: 1986
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.527296
ISSNL: 0022-2488 OR 00222488
MRclass: 41A60 (33A40 81C12)
MRnumber: 87j:41073
bibdate: Mon Oct 31 11:57:50 MDT 2011
bibtimestamp: 2011.10.31 11:57:50 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v27/i11/p2738_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: Per Olof Fr{\"o}man and Finn Karlsson and Staffan Yngve
title:
Phase-integral formulas for Bessel functions and their relation to already existing asymptotic formulas

bibsource:
http://jmp.aip.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib

rawtitle:
Phase-integral formulas for {Bessel} functions and their relation to already existing asymptotic formulas

entry:
@Article{Froman:1986:PIF,
  author =       "Per Olof Fr{\"o}man and Finn Karlsson and Staffan
                 Yngve",
  title =        "Phase-integral formulas for {Bessel} functions and
                 their relation to already existing asymptotic
                 formulas",
  journal =      j-J-MATH-PHYS,
  volume =       "27",
  number =       "11",
  pages =        "2738--2747",
  month =        nov,
  year =         "1986",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.527296",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "41A60 (33A40 81C12)",
  MRnumber =     "87j:41073",
  bibdate =      "Mon Oct 31 11:57:50 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v27/i11/p2738_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "10",
}


bibtype: inproceedings
filename: elefunt.bib
label: Gal:1986:CEF
author: Shmuel Gal
title: Computing elementary functions: a new approach for achieving high accuracy and good performance
crossref: Miranker:1986:ASC
pages: 1--16
year: 1986
MRclass: 65D20
MRnumber: 868 283
bibdate: Mon May 19 13:30:58 1997
bibtimestamp: 1997.05.19 13:30:58 ???
acknowledgement: ack-nhfb
rawauthor: Shmuel Gal
rawtitle: Computing elementary functions: a new approach for achieving high accuracy and good performance
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@InProceedings{Gal:1986:CEF,
  author =       "Shmuel Gal",
  title =        "Computing elementary functions: a new approach for
                 achieving high accuracy and good performance",
  crossref =     "Miranker:1986:ASC",
  pages =        "1--16",
  year =         "1986",
  MRclass =      "65D20",
  MRnumber =     "868 283",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Math/elefunt.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: inproceedings
filename: elefunt.bib
label: Gustavson:1986:FEF
author: F. G. Gustavson
title: Fast Elementary Function Algorithms for 370 Machines
crossref: Miranker:1986:ASC
pages: 17--17
year: 1986
bibdate: Mon May 19 13:30:58 1997
bibtimestamp: 1997.05.19 13:30:58 ???
acknowledgement: ack-nhfb
rawauthor: F. G. Gustavson
rawtitle: Fast Elementary Function Algorithms for 370 Machines
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Misc/MPG/lncs235.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@InProceedings{Gustavson:1986:FEF,
  author =       "F. G. Gustavson",
  title =        "Fast Elementary Function Algorithms for 370 Machines",
  crossref =     "Miranker:1986:ASC",
  pages =        "17--17",
  year =         "1986",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Misc/MPG/lncs235.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: elefunt.bib
label: Hochstadt:1986:FMP
author: Harry Hochstadt
title: The Functions of Mathematical Physics
publisher: pub-DOVER
address: pub-DOVER:adr
pages: xi + 322
year: 1986
ISBN: 0-486-65214-9 (paperback), 0-486-16878-6 (e-book) OR 0486652149 (paperback), 0486168786 (ebook)
LCCN: QA351 .H68 1986
bibdate: Tue Dec 5 10:51:16 MST 2023
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2023.12.05 10:51:16 MST
acknowledgement: ack-nhfb
rawauthor: Harry Hochstadt
rawtitle: The Functions of Mathematical Physics
ISBN13:
978-0-486-65214-6 (paperback), 978-0-486-16878-4 (e-book) OR 9780486652146 (paperback), 9780486168784 (ebook)

TOC:
1: Orthogonal Polynomials 1 Linear Spaces / 1 2 Orthogonal Polynomials / 6 3 The Recurrence Formula / 8 4 The Christoffel--Darboux Formula / 9 5 The Weierstrass Approximation Theorem / 11 6 The Zeros of the Orthogonal Polynomials / 14 7 Approximation Theory / 16 8 More about the Zeros of the Orthonormal Polynomials / 23 9 The completeness of the Orthonormal Polynomials in the Space of Square-Integrable Functions / 27 10 Generalizations and an Application to Conformal Mappings / 32 2: The Classical Orthogonal Polynomials 1 Rodrigues' Formula and the Classical Orthogonal Polynomials / 39 2 The Differential Equations Satisfied by the Classical Orthogonal Polynomials / 43 3 On the Zeros of the Jacobi Polynomials / 45 4 An Alternative Approach to the Tchebicheff Polynomials / 46 5 An Application of the Hermite Polynomials to Quantum Mechanics / 49 6 The Completeness of the Hermite and Laguerre Polynomials / 53 7 Generating Functions / 57 3: The Gamma Function 1 Definitions and Basic Properties / 61 2 Analytic Continuation and Integral Representations / 65 3 Asymptotic Expansions / 69 4 Beta Functions / 75 5 The Logarithmic Derivative of the Gamma Function / 77 6 Mellin--Barnes Integrals / 78 7 Mellin Transforms / 80 8 Applications to Algebraic Equations / 81 4: Hypergeometric Functions 1 Review of Linear Differential Equations with Regular Singular Points / 88 2 The Hypergeometric Differential Equation / 90 3 The Hypergeometric Function / 93 4 A General Method for Finding Integral Representations / 100 5 Integral Representations for the Hypergeometric Function / 105 6 The Twenty-four Solutions of the Hypergeometric / Equation106 7 The Schwarz--Christoffel Transformation / 112 8 Mappings of Curvilinear Triangles / 119 9 Group Theoretic Discussion of the Case $ pi (alpha _1 + alpha _2 + alpha _3) > pi $ / 130 10 Nonlinear Transformations of Hypergeometric Functions / 132 5: The Legendre Functions 1 Laplace's Differential Equation / 138 2 Maxwell's Theory of Poles / 140 3 Relationship to the Hypergeometric Functions / 141 4 Expansion Formulas / 147 5 The Addition Theorem / 149 6 Green's Functions / 153 7 The Complete Solution of Legendre's Differential Equation / 156 8 Asymptotic Formulas / 161 6: Spherical Harmonics in $p$ Dimensions 1 Homogeneous Polynomials / 168 2 Orthogonality of Spherical Harmonics / 171 3 Legendre Polynomials / 175 4 Applications to Boundary Value Problems / 183 7: Confluent Hypergeometric Functions 1 Relationship to the Hypergeometric Functions / 189 2 Applications of These Functions in Mathematical Physics / 191 3 Integral Representations / 195 4 Asymptotic Representations / 198 8: Bessel Functions 1 Basic Definitions / 200 2 Integral Representations / 203 3 Relationship to the Legendre Functions / 205 4 The Generating Function of the Bessel Function / 207 5 More Integral Representations / 210 6 Addition Theorems / 216 7 The Complete Solution of Bessel's Equation / 223 8 Asymptotic Expansions for Large Argument / 225 9 Airy Functions / 230 10 Asymptotic Expansions for Large Indices and Large Arguments / 235 11 Some Applications of Bessel Functions in Physical Optics / 241 12 The Zeros of Bessel Functions / 249 13 Fourier--Bessel Expansions / 257 14 Applications in Mathematical Physics / 266 15 Discontinuous Integrals / 269 9: Hill's Equation 1 Mathieu's Equation / 281 2 Hill's Equation / 282 3 The Discriminant / 287 4 Expansion Theorems / 299 5 Inverse Problems / 305 6 Hill's Equations with Even Coefficients / 309 7 Mathieu's Equation Revisited / 310 8 Energy Bands in Crystals / 313 Appendix / 314 Bibliography / 318 Index / 321

rawTOC:
1: Orthogonal Polynomials \\ 1 Linear Spaces / 1 \\ 2 Orthogonal Polynomials / 6 \\ 3 The Recurrence Formula / 8 \\ 4 The Christoffel--Darboux Formula / 9 \\ 5 The Weierstrass Approximation Theorem / 11 \\ 6 The Zeros of the Orthogonal Polynomials / 14 \\ 7 Approximation Theory / 16 \\ 8 More about the Zeros of the Orthonormal Polynomials / 23 \\ 9 The completeness of the Orthonormal Polynomials in the Space of Square-Integrable Functions / 27 \\ 10 Generalizations and an Application to Conformal Mappings / 32 \\ \\ 2: The Classical Orthogonal Polynomials 1 Rodrigues' Formula and the Classical Orthogonal Polynomials / 39 \\ 2 The Differential Equations Satisfied by the Classical Orthogonal Polynomials / 43 \\ 3 On the Zeros of the Jacobi Polynomials / 45 \\ 4 An Alternative Approach to the Tchebicheff Polynomials / 46 \\ 5 An Application of the Hermite Polynomials to Quantum Mechanics / 49 \\ 6 The Completeness of the Hermite and Laguerre Polynomials / 53 \\ 7 Generating Functions / 57 \\ \\ 3: The Gamma Function 1 Definitions and Basic Properties / 61 \\ 2 Analytic Continuation and Integral Representations / 65 \\ 3 Asymptotic Expansions / 69 \\ 4 Beta Functions / 75 \\ 5 The Logarithmic Derivative of the Gamma Function / 77 \\ 6 Mellin--Barnes Integrals / 78 \\ 7 Mellin Transforms / 80 \\ 8 Applications to Algebraic Equations / 81 \\ \\ 4: Hypergeometric Functions 1 Review of Linear Differential Equations with Regular Singular Points / 88 \\ 2 The Hypergeometric Differential Equation / 90 \\ 3 The Hypergeometric Function / 93 \\ 4 A General Method for Finding Integral Representations / 100 \\ 5 Integral Representations for the Hypergeometric Function / 105 \\ 6 The Twenty-four Solutions of the Hypergeometric / Equation106 \\ 7 The Schwarz--Christoffel Transformation / 112 \\ 8 Mappings of Curvilinear Triangles / 119 \\ 9 Group Theoretic Discussion of the Case $ \pi(\alpha_1 + \alpha_2 + \alpha_3) > \pi$ / 130 \\ 10 Nonlinear Transformations of Hypergeometric Functions / 132 \\ \\ 5: The Legendre Functions 1 Laplace's Differential Equation / 138 \\ 2 Maxwell's Theory of Poles / 140 \\ 3 Relationship to the Hypergeometric Functions / 141 \\ 4 Expansion Formulas / 147 \\ 5 The Addition Theorem / 149 \\ 6 Green's Functions / 153 \\ 7 The Complete Solution of Legendre's Differential Equation / 156 \\ 8 Asymptotic Formulas / 161 \\ \\ 6: Spherical Harmonics in $p$ Dimensions 1 Homogeneous Polynomials / 168 \\ 2 Orthogonality of Spherical Harmonics / 171 \\ 3 Legendre Polynomials / 175 \\ 4 Applications to Boundary Value Problems / 183 \\ \\ 7: Confluent Hypergeometric Functions 1 Relationship to the Hypergeometric Functions / 189 \\ 2 Applications of These Functions in Mathematical Physics / 191 \\ 3 Integral Representations / 195 \\ 4 Asymptotic Representations / 198 \\ \\ 8: Bessel Functions 1 Basic Definitions / 200 \\ 2 Integral Representations / 203 \\ 3 Relationship to the Legendre Functions / 205 \\ 4 The Generating Function of the Bessel Function / 207 \\ 5 More Integral Representations / 210 \\ 6 Addition Theorems / 216 \\ 7 The Complete Solution of Bessel's Equation / 223 \\ 8 Asymptotic Expansions for Large Argument / 225 \\ 9 Airy Functions / 230 \\ 10 Asymptotic Expansions for Large Indices and Large Arguments / 235 \\ 11 Some Applications of Bessel Functions in Physical Optics / 241 \\ 12 The Zeros of Bessel Functions / 249 \\ 13 Fourier--Bessel Expansions / 257 \\ 14 Applications in Mathematical Physics / 266 \\ 15 Discontinuous Integrals / 269 \\ \\ 9: Hill's Equation 1 Mathieu's Equation / 281 \\ 2 Hill's Equation / 282 \\ 3 The Discriminant / 287 \\ 4 Expansion Theorems / 299 \\ 5 Inverse Problems / 305 \\ 6 Hill's Equations with Even Coefficients / 309 \\ 7 Mathieu's Equation Revisited / 310 \\ 8 Energy Bands in Crystals / 313 \\ Appendix / 314 \\ \\ Bibliography / 318 \\ \\ Index / 321

entry:
@Book{Hochstadt:1986:FMP,
  author =       "Harry Hochstadt",
  title =        "The Functions of Mathematical Physics",
  publisher =    pub-DOVER,
  address =      pub-DOVER:adr,
  pages =        "xi + 322",
  year =         "1986",
  ISBN =         "0-486-65214-9 (paperback), 0-486-16878-6 (e-book)",
  ISBN-13 =      "978-0-486-65214-6 (paperback), 978-0-486-16878-4
                 (e-book)",
  LCCN =         "QA351 .H68 1986",
  bibdate =      "Tue Dec 5 10:51:16 MST 2023",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "1: Orthogonal Polynomials \\
                 1 Linear Spaces / 1 \\
                 2 Orthogonal Polynomials / 6 \\
                 3 The Recurrence Formula / 8 \\
                 4 The Christoffel--Darboux Formula / 9 \\
                 5 The Weierstrass Approximation Theorem / 11 \\
                 6 The Zeros of the Orthogonal Polynomials / 14 \\
                 7 Approximation Theory / 16 \\
                 8 More about the Zeros of the Orthonormal Polynomials /
                 23 \\
                 9 The completeness of the Orthonormal Polynomials in
                 the Space of Square-Integrable Functions / 27 \\
                 10 Generalizations and an Application to Conformal
                 Mappings / 32 \\
                 \\
                 2: The Classical Orthogonal Polynomials 1 Rodrigues'
                 Formula and the Classical Orthogonal Polynomials / 39
                 \\
                 2 The Differential Equations Satisfied by the Classical
                 Orthogonal Polynomials / 43 \\
                 3 On the Zeros of the Jacobi Polynomials / 45 \\
                 4 An Alternative Approach to the Tchebicheff
                 Polynomials / 46 \\
                 5 An Application of the Hermite Polynomials to Quantum
                 Mechanics / 49 \\
                 6 The Completeness of the Hermite and Laguerre
                 Polynomials / 53 \\
                 7 Generating Functions / 57 \\
                 \\
                 3: The Gamma Function 1 Definitions and Basic
                 Properties / 61 \\
                 2 Analytic Continuation and Integral Representations /
                 65 \\
                 3 Asymptotic Expansions / 69 \\
                 4 Beta Functions / 75 \\
                 5 The Logarithmic Derivative of the Gamma Function / 77
                 \\
                 6 Mellin--Barnes Integrals / 78 \\
                 7 Mellin Transforms / 80 \\
                 8 Applications to Algebraic Equations / 81 \\
                 \\
                 4: Hypergeometric Functions 1 Review of Linear
                 Differential Equations with Regular Singular Points /
                 88 \\
                 2 The Hypergeometric Differential Equation / 90 \\
                 3 The Hypergeometric Function / 93 \\
                 4 A General Method for Finding Integral Representations
                 / 100 \\
                 5 Integral Representations for the Hypergeometric
                 Function / 105 \\
                 6 The Twenty-four Solutions of the Hypergeometric /
                 Equation106 \\
                 7 The Schwarz--Christoffel Transformation / 112 \\
                 8 Mappings of Curvilinear Triangles / 119 \\
                 9 Group Theoretic Discussion of the Case $ \pi(\alpha_1
                 + \alpha_2 + \alpha_3) > \pi$ / 130 \\
                 10 Nonlinear Transformations of Hypergeometric
                 Functions / 132 \\
                 \\
                 5: The Legendre Functions 1 Laplace's Differential
                 Equation / 138 \\
                 2 Maxwell's Theory of Poles / 140 \\
                 3 Relationship to the Hypergeometric Functions / 141
                 \\
                 4 Expansion Formulas / 147 \\
                 5 The Addition Theorem / 149 \\
                 6 Green's Functions / 153 \\
                 7 The Complete Solution of Legendre's Differential
                 Equation / 156 \\
                 8 Asymptotic Formulas / 161 \\
                 \\
                 6: Spherical Harmonics in $p$ Dimensions 1 Homogeneous
                 Polynomials / 168 \\
                 2 Orthogonality of Spherical Harmonics / 171 \\
                 3 Legendre Polynomials / 175 \\
                 4 Applications to Boundary Value Problems / 183 \\
                 \\
                 7: Confluent Hypergeometric Functions 1 Relationship to
                 the Hypergeometric Functions / 189 \\
                 2 Applications of These Functions in Mathematical
                 Physics / 191 \\
                 3 Integral Representations / 195 \\
                 4 Asymptotic Representations / 198 \\
                 \\
                 8: Bessel Functions 1 Basic Definitions / 200 \\
                 2 Integral Representations / 203 \\
                 3 Relationship to the Legendre Functions / 205 \\
                 4 The Generating Function of the Bessel Function / 207
                 \\
                 5 More Integral Representations / 210 \\
                 6 Addition Theorems / 216 \\
                 7 The Complete Solution of Bessel's Equation / 223 \\
                 8 Asymptotic Expansions for Large Argument / 225 \\
                 9 Airy Functions / 230 \\
                 10 Asymptotic Expansions for Large Indices and Large
                 Arguments / 235 \\
                 11 Some Applications of Bessel Functions in Physical
                 Optics / 241 \\
                 12 The Zeros of Bessel Functions / 249 \\
                 13 Fourier--Bessel Expansions / 257 \\
                 14 Applications in Mathematical Physics / 266 \\
                 15 Discontinuous Integrals / 269 \\
                 \\
                 9: Hill's Equation 1 Mathieu's Equation / 281 \\
                 2 Hill's Equation / 282 \\
                 3 The Discriminant / 287 \\
                 4 Expansion Theorems / 299 \\
                 5 Inverse Problems / 305 \\
                 6 Hill's Equations with Even Coefficients / 309 \\
                 7 Mathieu's Equation Revisited / 310 \\
                 8 Energy Bands in Crystals / 313 \\
                 Appendix / 314 \\
                 \\
                 Bibliography / 318 \\
                 \\
                 Index / 321",
}


bibtype: article
filename: elefunt.bib
label: Hull:1986:VPE
author: T. E. Hull and A. Abrham
title: Variable Precision Exponential Function
journal: j-TOMS
volume: 12
number: 2
pages: 79--91
month: jun
monthnumber: 6
year: 1986
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D15 (65D20)
MRnumber: 863 786
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms; theory; verification
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: T. E. Hull and A. Abrham
rawtitle: Variable Precision Exponential Function
URL:
http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p79-hull/; http://www.acm.org/pubs/toc/Abstracts/toms/6498.html

subject:
bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Algorithm analysis. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Certification and testing. bf G.4: Mathematics of Computing, MATHEMATICAL SOFTWARE, Verification.

entry:
@Article{Hull:1986:VPE,
  author =       "T. E. Hull and A. Abrham",
  title =        "Variable Precision Exponential Function",
  journal =      j-TOMS,
  volume =       "12",
  number =       "2",
  pages =        "79--91",
  month =        jun,
  year =         "1986",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D15 (65D20)",
  MRnumber =     "863 786",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1986-12-2/p79-hull/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/6498.html",
  acknowledgement = ack-nhfb,
  bibno =        "91",
  content =      "algorithms; verification; THEORY",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.4 Algorithm analysis; G.4
                 Certification and testing; G.4 Verification",
  CRnumber =     "1986-02428",
  descriptor =   "mathematics of computing, numerical analysis,
                 approximation, elementary function approximation;
                 mathematics of computing, mathematical software,
                 algorithm analysis; mathematics of computing,
                 mathematical software, certification and testing;
                 mathematics of computing, mathematical software,
                 verification",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  fortitle =     "ACM Trans. Math. Softw.",
  genterm =      "June 1986",
  guideno =      "2",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "algorithms; theory; verification",
  review =       "ACM CR 8702-0091",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.4}: Mathematics of Computing,
                 MATHEMATICAL SOFTWARE, Algorithm analysis. {\bf G.4}:
                 Mathematics of Computing, MATHEMATICAL SOFTWARE,
                 Certification and testing. {\bf G.4}: Mathematics of
                 Computing, MATHEMATICAL SOFTWARE, Verification.",
}


bibtype: article
filename: elefunt.bib
label: Jacobsen:1986:FRC
author: Lisa Jacobsen and William B. Jones and Haakon Waadeland
title: Further results on the computation of incomplete gamma functions
journal: j-LECT-NOTES-MATH
volume: 1199
pages: 67--89
year: 1986
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0075936
ISBN: 3-540-16768-4 (print), 3-540-38817-6 (e-book) OR 3540167684 (print), 3540388176 (ebook)
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
MRclass: 40A15 (33A10 33A15)
MRnumber: 870245 (88f:40004)
MRreviewer: Marietta J. Tretter
bibdate: Thu May 15 18:46:23 MDT 2014
bibtimestamp: 2014.05.15 18:46:23 MDT
URL: http://link.springer.com/chapter/10.1007/BFb0075936/
fjournal: Lecture Notes in Mathematics
acknowledgement: ack-nhfb
bookDOI: https://doi.org/10.1007/BFb0075930
bookURL: http://www.springerlink.com/content/978-3-540-38817-3
journalURL: http://link.springer.com/bookseries/304
rawauthor: Lisa Jacobsen and William B. Jones and Haakon Waadeland
rawtitle: Further results on the computation of incomplete gamma functions
ISBN13:
978-3-540-16768-6 (print), 978-3-540-38817-3 (e-book) OR 9783540167686 (print), 9783540388173 (ebook)

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/lnm1985.bib

entry:
@Article{Jacobsen:1986:FRC,
  author =       "Lisa Jacobsen and William B. Jones and Haakon
                 Waadeland",
  title =        "Further results on the computation of incomplete gamma
                 functions",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1199",
  pages =        "67--89",
  year =         "1986",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0075936",
  ISBN =         "3-540-16768-4 (print), 3-540-38817-6 (e-book)",
  ISBN-13 =      "978-3-540-16768-6 (print), 978-3-540-38817-3
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "40A15 (33A10 33A15)",
  MRnumber =     "870245 (88f:40004)",
  MRreviewer =   "Marietta J. Tretter",
  bibdate =      "Thu May 15 18:46:23 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0075936/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0075930",
  book-URL =     "http://www.springerlink.com/content/978-3-540-38817-3",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}


bibtype: article
filename: elefunt.bib
label: Kushner:1986:ECC
author: Ed Kushner and Rick Broussard
title: Efficient computation of the cylindrical Bessel functions of complex argument
journal: j-COMP-PHYS-COMM
volume: 42
number: 3
pages: 345--349
month: nov
monthnumber: 11
year: 1986
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(86)90004-4
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:16 MST 2012
bibtimestamp: 2012.02.13 10:28:16 MST
URL: http://www.sciencedirect.com/science/article/pii/0010465586900044
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: Ed Kushner and Rick Broussard
rawtitle: Efficient computation of the cylindrical {Bessel} functions of complex argument
abstract:
An algorithm that generates the cylindrical Bessel function very accurately for a wide range of complex arguments has been developed by Mason. The Mason algorithm consists of four different methods that apply to different portions of the complex plane. Experience with the Floating Point Systems FPS-364 minisupercomputer indicates several ways by which these methods can be made more efficient. Specific improvements relate to: (1) the method for determination of the point where backward recursion is initiated for the Bessel functions of the first kind; (2) the way that the Bessel functions of the first and second kind are normalized when $ |y| < 5 $ and $ |x| leq 20 $; and (3) the extent that asymptotic expansions are used when $ |x| > 20 $ and $ |y| < 5 $. The first and third modifications will result in increased efficiency for all architectures. The second modification will be of value for many, but probably not all, architectures.

rawabstract:
An algorithm that generates the cylindrical Bessel function very accurately for a wide range of complex arguments has been developed by Mason. The Mason algorithm consists of four different methods that apply to different portions of the complex plane. Experience with the Floating Point Systems FPS-364 minisupercomputer indicates several ways by which these methods can be made more efficient. Specific improvements relate to: (1) the method for determination of the point where backward recursion is initiated for the Bessel functions of the first kind; (2) the way that the Bessel functions of the first and second kind are normalized when $ |y| < 5 $ and $ |x| \leq 20 $; and (3) the extent that asymptotic expansions are used when $ |x| > 20 $ and $ |y| < 5 $. The first and third modifications will result in increased efficiency for all architectures. The second modification will be of value for many, but probably not all, architectures.

entry:
@Article{Kushner:1986:ECC,
  author =       "Ed Kushner and Rick Broussard",
  title =        "Efficient computation of the cylindrical {Bessel}
                 functions of complex argument",
  journal =      j-COMP-PHYS-COMM,
  volume =       "42",
  number =       "3",
  pages =        "345--349",
  month =        nov,
  year =         "1986",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(86)90004-4",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:16 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465586900044",
  abstract =     "An algorithm that generates the cylindrical Bessel
                 function very accurately for a wide range of complex
                 arguments has been developed by Mason. The Mason
                 algorithm consists of four different methods that apply
                 to different portions of the complex plane. Experience
                 with the Floating Point Systems FPS-364
                 minisupercomputer indicates several ways by which these
                 methods can be made more efficient. Specific
                 improvements relate to: (1) the method for
                 determination of the point where backward recursion is
                 initiated for the Bessel functions of the first kind;
                 (2) the way that the Bessel functions of the first and
                 second kind are normalized when $ |y| < 5 $ and $ |x|
                 \leq 20 $; and (3) the extent that asymptotic
                 expansions are used when $ |x| > 20 $ and $ |y| < 5 $.
                 The first and third modifications will result in
                 increased efficiency for all architectures. The second
                 modification will be of value for many, but probably
                 not all, architectures.",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Laforgia:1986:IBF
author: Andrea Laforgia
title: Inequalities for Bessel functions
journal: j-J-COMPUT-APPL-MATH
volume: 15
number: 1
pages: 75--81
month: may
monthnumber: 5
year: 1986
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:55 MST 2017
bibtimestamp: 2017.02.25 11:59:55 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042786902396
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Andrea Laforgia
rawtitle: Inequalities for {Bessel} functions
entry:
@Article{Laforgia:1986:IBF,
  author =       "Andrea Laforgia",
  title =        "Inequalities for {Bessel} functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "15",
  number =       "1",
  pages =        "75--81",
  month =        may,
  year =         "1986",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:55 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786902396",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Lavoie:1986:SEG
author: J. L. Lavoie
title: Some evaluations for the generalized hypergeometric series
journal: j-MATH-COMPUT
volume: 46
number: 173
pages: 215--218
month: jan
monthnumber: 1
year: 1986
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A35 (65D20)
MRnumber: 87c:33007
MRreviewer: S. D. Bajpai
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Laval Univ., Que., Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. L. Lavoie
rawtitle: Some evaluations for the generalized hypergeometric series
keywords:
evaluation formulae; generalized hypergeometric series; series (mathematics); summation formulae; unit argument; Whipple's theorem

classcodes:
B0200 (Engineering mathematics and mathematical techniques); B0290Z (Other numerical methods); C1100 (Mathematical techniques); C4190 (Other numerical methods)

entry:
@Article{Lavoie:1986:SEG,
  author =       "J. L. Lavoie",
  title =        "Some evaluations for the generalized hypergeometric
                 series",
  journal =      j-MATH-COMPUT,
  volume =       "46",
  number =       "173",
  pages =        "215--218",
  month =        jan,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65D20)",
  MRnumber =     "87c:33007",
  MRreviewer =   "S. D. Bajpai",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0200 (Engineering mathematics and mathematical
                 techniques); B0290Z (Other numerical methods); C1100
                 (Mathematical techniques); C4190 (Other numerical
                 methods)",
  corpsource =   "Laval Univ., Que., Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "evaluation formulae; generalized hypergeometric
                 series; series (mathematics); summation formulae; unit
                 argument; Whipple's theorem",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Marsaglia:1986:CIG
author: John C. W. Marsaglia
title: C249. The incomplete gamma function and Ramanujan's rational approximation to $ e^x $
journal: j-J-STAT-COMPUT-SIMUL
volume: 24
number: 2
pages: 163--168
year: 1986
CODEN: JSCSAJ
DOI: https://doi.org/10.1080/00949658608810899
ISSNL: 0094-9655 OR 00949655
bibdate: Tue Apr 22 09:11:07 MDT 2014
bibtimestamp: 2014.04.22 09:11:07 MDT
fjournal: Journal of Statistical Computation and Simulation
acknowledgement: ack-nhfb
journalURL: http://www.tandfonline.com/loi/gscs20
rawauthor: John C. W. Marsaglia
rawtitle: {C249}. {The} incomplete gamma function and {Ramanujan}'s rational approximation to $ e^x $
ISSN:
0094-9655 (print), 1026-7778 (electronic), 1563-5163 OR 00949655 (print), 10267778 (electronic), 15635163

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib

entry:
@Article{Marsaglia:1986:CIG,
  author =       "John C. W. Marsaglia",
  title =        "{C249}. {The} incomplete gamma function and
                 {Ramanujan}'s rational approximation to $ e^x $",
  journal =      j-J-STAT-COMPUT-SIMUL,
  volume =       "24",
  number =       "2",
  pages =        "163--168",
  year =         "1986",
  CODEN =        "JSCSAJ",
  DOI =          "https://doi.org/10.1080/00949658608810899",
  ISSN =         "0094-9655 (print), 1026-7778 (electronic), 1563-5163",
  ISSN-L =       "0094-9655",
  bibdate =      "Tue Apr 22 09:11:07 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jstatcomputsimul.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Statistical Computation and Simulation",
  journal-URL =  "http://www.tandfonline.com/loi/gscs20",
}


bibtype: article
filename: elefunt.bib
label: Muller:1986:MDC
author: Jean-Michel Muller
journal: j-MATH-MODEL-NUM-ANA
volume: 20
number: 4
pages: 667--695
year: 1986
CODEN: RMMAEV
ISSN: 0764-583X (print), 1290-3841 (electronic) OR 0764583X (print), 12903841 (electronic)
ISSNL: 0764-583X OR 0764583X
MRclass: 65D20 (41-04)
MRnumber: 88h:65043
MRreviewer: E. W. Cheney
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: Russian
acknowledgement: ack-nhfb
journalURL: http://journals.cambridge.org/action/displayJournal?jid=MZA
rawauthor: Jean-Michel Muller
title:
Une methodologie du calcul hardware des fonctions elementaires. (French) [A methodology for the hardware computation of elementary functions]

fjournal:
Mathematical modelling and numerical analysis = Modelisation mathematique et analyse numerique: $M^2AN$

rawtitle:
Une m{\'e}thodologie du calcul hardware des fonctions {\'e}l{\'e}mentaires. ({French}) [{A} methodology for the hardware computation of elementary functions]

entry:
@Article{Muller:1986:MDC,
  author =       "Jean-Michel Muller",
  title =        "Une m{\'e}thodologie du calcul hardware des fonctions
                 {\'e}l{\'e}mentaires. ({French}) [{A} methodology for
                 the hardware computation of elementary functions]",
  journal =      j-MATH-MODEL-NUM-ANA,
  volume =       "20",
  number =       "4",
  pages =        "667--695",
  year =         "1986",
  CODEN =        "RMMAEV",
  ISSN =         "0764-583X (print), 1290-3841 (electronic)",
  ISSN-L =       "0764-583X",
  MRclass =      "65D20 (41-04)",
  MRnumber =     "88h:65043",
  MRreviewer =   "E. W. Cheney",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematical modelling and numerical analysis =
                 Modelisation math{\'e}matique et analyse num{\'e}rique:
                 $M^2AN$",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=MZA",
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Petkovic:1986:SIS
author: M. S. Petkovic and L. V. Stefanovic
title: On some improvements of square root iteration for polynomial complex zeros
journal: j-J-COMPUT-APPL-MATH
volume: 15
number: 1
pages: 13--25
month: may
monthnumber: 5
year: 1986
CODEN: JCAMDI
DOI: https://doi.org/10.1016/0377-0427(86)90235-9
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:55 MST 2017
bibtimestamp: 2017.02.25 11:59:55 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042786902359
fjournal: Journal of Computational and Applied Mathematics
keywords: polynomial root finding
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: M. S. Petkovi{\'c} and L. V. Stefanovi{\'c}
rawtitle: On some improvements of square root iteration for polynomial complex zeros
entry:
@Article{Petkovic:1986:SIS,
  author =       "M. S. Petkovi{\'c} and L. V. Stefanovi{\'c}",
  title =        "On some improvements of square root iteration for
                 polynomial complex zeros",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "15",
  number =       "1",
  pages =        "13--25",
  month =        may,
  year =         "1986",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(86)90235-9",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:55 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786902359",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "polynomial root finding",
}


bibtype: article
filename: elefunt.bib
label: Piessens:1986:ATP
author: Robert Piessens and Shafique Ahmed
title: Approximation for the turning points of Bessel functions
journal: j-J-COMPUT-PHYS
volume: 64
number: 1
pages: 253--257
month: may
monthnumber: 5
year: 1986
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(86)90029-X
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:29 MST 2012
bibtimestamp: 2012.01.01 15:59:29 MST
URL: http://www.sciencedirect.com/science/article/pii/002199918690029X
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Robert Piessens and Shafique Ahmed
rawtitle: Approximation for the turning points of {Bessel} functions
entry:
@Article{Piessens:1986:ATP,
  author =       "Robert Piessens and Shafique Ahmed",
  title =        "Approximation for the turning points of {Bessel}
                 functions",
  journal =      j-J-COMPUT-PHYS,
  volume =       "64",
  number =       "1",
  pages =        "253--257",
  month =        may,
  year =         "1986",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(86)90029-X",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:29 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199918690029X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: book
filename: elefunt.bib
label: Prudnikov:1986:ISE
author: Anatolij P. Prudnikov and Jurij A. Bryckov and Oleg I. Maricev
title: Integrals and series. Elementary functions
volume: 1
publisher: Gordon and Breach Science Publishers
address: New York, NY, USA
pages: 798
year: 1986
ISBN: 2-88124-089-5 OR 2881240895
ISBN13: 978-2-88124-089-8 OR 9782881240898
LCCN: QA308.P7813 1986
bibdate: Thu Nov 2 15:40:35 MDT 2017
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2017.11.02 15:40:35 MDT
remark: Translated from the Russian by N. M. Queen.
subject: Integrals; Series
acknowledgement: ack-nhfb
authordates: 1927--
rawauthor: Anatolij P. Prudnikov and Jurij A. Bry{\v{c}}kov and Oleg I. Mari{\v{c}}ev
rawtitle: Integrals and series. {Elementary} functions
entry:
@Book{Prudnikov:1986:ISE,
  author =       "Anatolij P. Prudnikov and Jurij A. Bry{\v{c}}kov and
                 Oleg I. Mari{\v{c}}ev",
  title =        "Integrals and series. {Elementary} functions",
  volume =       "1",
  publisher =    "Gordon and Breach Science Publishers",
  address =      "New York, NY, USA",
  pages =        "798",
  year =         "1986",
  ISBN =         "2-88124-089-5",
  ISBN-13 =      "978-2-88124-089-8",
  LCCN =         "QA308.P7813 1986",
  bibdate =      "Thu Nov 2 15:40:35 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  author-dates = "1927--",
  remark =       "Translated from the Russian by N. M. Queen.",
  seriestableofcontents = "v. 1. Elementary functions \\
                 v. 2. Special functions \\
                 v. 3. More special functions \\
                 v. 4. Direct Laplace transforms \\
                 v. 5. Inverse Laplace transforms",
  subject =      "Integrals; Series",
}


bibtype: book
filename: elefunt.bib
label: Prudnikov:1986:ISS
author: Anatolij P. Prudnikov and Jurij A. Bryckov and Oleg I. Maricev
title: Integrals and series. Special functions
volume: 2
publisher: Gordon and Breach Science Publishers
address: New York, NY, USA
pages: 750
year: 1986
ISBN: 2-88124-090-9 OR 2881240909
ISBN13: 978-2-88124-090-4 OR 9782881240904
LCCN: QA308.P7813 1986
MRclass: 26A33, 26A36, 26A39, 26A42, 26B15, 26B20, 26B25
bibdate: Thu Nov 2 15:43:13 MDT 2017
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2017.11.02 15:43:13 MDT
remark: Translated from the Russian by N. M. Queen.
subject: Integrals; Series
acknowledgement: ack-nhfb
rawauthor: Anatolij P. Prudnikov and Jurij A. Bry{\v{c}}kov and Oleg I. Mari{\v{c}}ev
rawtitle: Integrals and series. {Special} functions
entry:
@Book{Prudnikov:1986:ISS,
  author =       "Anatolij P. Prudnikov and Jurij A. Bry{\v{c}}kov and
                 Oleg I. Mari{\v{c}}ev",
  title =        "Integrals and series. {Special} functions",
  volume =       "2",
  publisher =    "Gordon and Breach Science Publishers",
  address =      "New York, NY, USA",
  pages =        "750",
  year =         "1986",
  ISBN =         "2-88124-090-9",
  ISBN-13 =      "978-2-88124-090-4",
  LCCN =         "QA308.P7813 1986",
  MRclass =      "26A33, 26A36, 26A39, 26A42, 26B15, 26B20, 26B25",
  bibdate =      "Thu Nov 2 15:43:13 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  remark =       "Translated from the Russian by N. M. Queen.",
  seriestableofcontents = "v. 1. Elementary functions \\
                 v. 2. Special functions \\
                 v. 3. More special functions \\
                 v. 4. Direct Laplace transforms \\
                 v. 5. Inverse Laplace transforms",
  subject =      "Integrals; Series",
}


bibtype: article
filename: elefunt.bib
label: Reichel:1986:PAU
author: L. Reichel
title: On polynomial approximation in the uniform norm by the discrete least squares method
journal: j-BIT
volume: 26
number: 3
pages: 350--368
month: jan
monthnumber: 1
year: 1986
CODEN: BITTEL, NBITAB
ISSN: 0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)
ISSNL: 0006-3835 OR 00063835
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: BIT (Nordisk tidskrift for informationsbehandling)
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/10543
rawauthor: L. Reichel
rawtitle: On polynomial approximation in the uniform norm by the discrete least squares method
entry:
@Article{Reichel:1986:PAU,
  author =       "L. Reichel",
  title =        "On polynomial approximation in the uniform norm by the
                 discrete least squares method",
  journal =      j-BIT,
  volume =       "26",
  number =       "3",
  pages =        "350--368",
  month =        jan,
  year =         "1986",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "12404",
  catcode =      "G.1.2; G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Least squares
                 approximation; G.1.2 Approximation; G.1.2 Spline and
                 piecewise polynomial approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Least squares approximation; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation, Spline
                 and piecewise polynomial approximation",
  fjournal =     "BIT (Nordisk tidskrift for informationsbehandling)",
  genterm =      "algorithms",
  guideno =      "1986-03278",
  journal-URL =  "http://link.springer.com/journal/10543",
  jrldate =      "Jan. 1986",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Ronning:1986:CTF
author: Gerd Ronning
title: On the curvature of the trigamma function
journal: j-J-COMPUT-APPL-MATH
volume: 15
number: 3
pages: 397--399
month: jul
monthnumber: 7
year: 1986
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:56 MST 2017
bibtimestamp: 2017.02.25 11:59:56 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042786902311
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Gerd Ronning
rawtitle: On the curvature of the trigamma function
entry:
@Article{Ronning:1986:CTF,
  author =       "Gerd Ronning",
  title =        "On the curvature of the trigamma function",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "15",
  number =       "3",
  pages =        "397--399",
  month =        jul,
  year =         "1986",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:56 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786902311",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: S:1986:CEF
author: A. S. Kuz'menko and K. I. Rogozin
journal: Prace Nauk. Inst. Cybernet. Tech. Politech. Wroclaw. Ser. Konfer.
volume: 74
number: 31
pages: 259--262
year: 1986
MRclass: 65G99 (65D20)
MRnumber: 894 691
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: Russian
acknowledgement: ack-nhfb
rawauthor: A. S. Kuz'menko and K. I. Rogozin
title:
Calculation of elementary functions in a number system with arbitrary basis on the basis of order-differential transformations. (Russian)

rawtitle:
Calculation of elementary functions in a number system with arbitrary basis on the basis of order-differential transformations. ({Russian})

entry:
@Article{S:1986:CEF,
  author =       "A. S. Kuz'menko and K. I. Rogozin",
  title =        "Calculation of elementary functions in a number system
                 with arbitrary basis on the basis of order-differential
                 transformations. ({Russian})",
  journal =      "Prace Nauk. Inst. Cybernet. Tech. Politech.
                 Wroc{\l}aw. Ser. Konfer.",
  volume =       "74",
  number =       "31",
  pages =        "259--262",
  year =         "1986",
  MRclass =      "65G99 (65D20)",
  MRnumber =     "894 691",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Shore:1986:AID
author: Haim Shore
journal: j-J-STAT-COMPUT-SIMUL
volume: 23
number: 3
pages: 157--181
year: 1986
CODEN: JSCSAJ
ISSN: 0094-9655 (print), 1563-5163 (electronic) OR 00949655 (print), 15635163 (electronic)
ISSNL: 0094-9655 OR 00949655
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Statistical Computation and Simulation
acknowledgement: ack-nhfb
affiliation: Ban-llan University, Israel
journalURL: http://www.tandfonline.com/loi/gscs20
reviewer: M. Snyder
rawauthor: Haim Shore
title:
An approximation for the inverse distribution function of a combination of random variables, with an application to operating theatres

subject:
G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.m MISCELLANEOUS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS; J. Computer Applications; J.3 LIFE AND MEDICAL SCIENCES; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS

rawtitle:
An approximation for the inverse distribution function of a combination of random variables, with an application to operating theatres

entry:
@Article{Shore:1986:AID,
  author =       "Haim Shore",
  title =        "An approximation for the inverse distribution function
                 of a combination of random variables, with an
                 application to operating theatres",
  journal =      j-J-STAT-COMPUT-SIMUL,
  volume =       "23",
  number =       "3",
  pages =        "157--181",
  year =         "1986",
  CODEN =        "JSCSAJ",
  ISSN =         "0094-9655 (print), 1563-5163 (electronic)",
  ISSN-L =       "0094-9655",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Ban-llan University, Israel",
  bibno =        "5358",
  catcode =      "G.3; G.m; G.1.2; G.2.1; J.3; G.3",
  content =      "The author worked on a project to predict the
                 percentage of time that operations are carried out
                 relative to the time that the operating theater is
                 available. The numerator of the percentage is a
                 weighted sum of the times required to carry out
                 different kinds of operations, where the weights are
                 the numbers of operations of each kind to be performed.
                 Since different kinds of operations have different mean
                 times, this sum has a skewed distribution.\par

                 Based on the Central Limit Theorem, the normal
                 distribution is the most widely used approximation to
                 the distribution of a weighted sum of random variables.
                 However, this approximation is not very good if the sum
                 has a skewed distribution.\par

                 In a separate paper [1], the author derived an
                 alternative approximation based on the first four
                 moments of the sum. In the present paper, he applies
                 this approximation to the operating theater problem by
                 estimating the moments of the times of the different
                 kinds of operations. The paper also contains a Monte
                 Carlo comparison of the normal approximation with the
                 proposed approximation for four underlying
                 distributions of the sum.",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.2.1 Combinatorics;
                 G.2.1 Generating functions; J.3 Health; G.3
                 Probabilistic algorithms (including Monte Carlo)",
  CRnumber =     "8612-1109",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 MISCELLANEOUS; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Combinatorics, Generating functions;
                 Computer Applications, LIFE AND MEDICAL SCIENCES,
                 Health; Mathematics of Computing, PROBABILITY AND
                 STATISTICS, Probabilistic algorithms (including Monte
                 Carlo)",
  fjournal =     "Journal of Statistical Computation and Simulation",
  genterm =      "algorithms; measurement",
  journal-URL =  "http://www.tandfonline.com/loi/gscs20",
  journalabbrev = "J. Stat. Comput. Simul.",
  jrldate =      "1986",
  reviewer =     "M. Snyder",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.m
                 MISCELLANEOUS; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.2
                 DISCRETE MATHEMATICS; J. Computer Applications; J.3
                 LIFE AND MEDICAL SCIENCES; G. Mathematics of Computing;
                 G.3 PROBABILITY AND STATISTICS",
}


bibtype: article
filename: elefunt.bib
label: Skeel:1986:CVS
author: Robert D. Skeel
title: Construction of Variable-Stepsize Multistep Formulas
journal: j-MATH-COMPUT
volume: 47
number: 176
pages: 503--510, S45--S52
month: oct
monthnumber: 10
year: 1986
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65L05
MRnumber: 87j:65080
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: C4110 (Error analysis in numerical methods); C4170 (Differential equations)
corpsource: Dept. of Comput. Sci., Illnois Univ., Urbana, IL, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Robert D. Skeel
rawtitle: Construction of Variable-Stepsize Multistep Formulas
keywords:
Adams formula; adaptable multistep methods; backward-differentiation; differential equations; error analysis; estimation; first Dahlquist barrier; fixed leading coefficient method; fixed-coefficient methods; fixed-stepsize; formula; formula changing; initial value; interpolatory methods; local error; minimum storage variable-stepsize; multistep formula; Nordsieck stepsize changing technique; problems; step methods; variable; variable coefficient methods; variable-order family of variable-coefficient formulas

entry:
@Article{Skeel:1986:CVS,
  author =       "Robert D. Skeel",
  title =        "Construction of Variable-Stepsize Multistep Formulas",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "503--510, S45--S52",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65L05",
  MRnumber =     "87j:65080",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4110 (Error analysis in numerical methods); C4170
                 (Differential equations)",
  corpsource =   "Dept. of Comput. Sci., Illnois Univ., Urbana, IL,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Adams formula; adaptable multistep methods;
                 backward-differentiation; differential equations; error
                 analysis; estimation; first Dahlquist barrier; fixed
                 leading coefficient method; fixed-coefficient methods;
                 fixed-stepsize; formula; formula changing; initial
                 value; interpolatory methods; local error; minimum
                 storage variable-stepsize; multistep formula; Nordsieck
                 stepsize changing technique; problems; step methods;
                 variable; variable coefficient methods; variable-order
                 family of variable-coefficient formulas",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Skeel:1986:SCV
author: Robert D. Skeel
title: Supplement to Construction of Variable-Stepsize Multistep Formulas
journal: j-MATH-COMPUT
volume: 47
number: 176
pages: S45--S52
month: oct
monthnumber: 10
year: 1986
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: Robert D. Skeel
rawtitle: Supplement to Construction of Variable-Stepsize Multistep Formulas
entry:
@Article{Skeel:1986:SCV,
  author =       "Robert D. Skeel",
  title =        "Supplement to Construction of Variable-Stepsize
                 Multistep Formulas",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "S45--S52",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: article
filename: elefunt.bib
label: Temme:1986:DIC
author: N. M. Temme
title: A double integral containing the modified Bessel function: asymptotics and computation
journal: j-MATH-COMPUT
volume: 47
number: 176
pages: 683--691
month: oct
monthnumber: 10
year: 1986
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A40 (41A60 65D30)
MRnumber: 87m:33006
MRreviewer: S. D. Bajpai
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Centre for Math. and Comput. Sci., Amsterdam, Netherlands
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: N. M. Temme
rawtitle: A double integral containing the modified {Bessel} function: asymptotics and computation
keywords:
distribution function; double integral; error analysis; error function; integral; integration; modified Bessel function; normal; polynomials; probability; series (mathematics); series expansions; two-dimensional

classcodes:
C4110 (Error analysis in numerical methods); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)

entry:
@Article{Temme:1986:DIC,
  author =       "N. M. Temme",
  title =        "A double integral containing the modified {Bessel}
                 function: asymptotics and computation",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "683--691",
  month =        oct,
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A40 (41A60 65D30)",
  MRnumber =     "87m:33006",
  MRreviewer =   "S. D. Bajpai",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4110 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Centre for Math. and Comput. Sci., Amsterdam,
                 Netherlands",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "distribution function; double integral; error
                 analysis; error function; integral; integration;
                 modified Bessel function; normal; polynomials;
                 probability; series (mathematics); series expansions;
                 two-dimensional",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Thompson:1986:CBF
author: I. J. Thompson and A. R. Barnett
title: Coulomb and Bessel functions of complex arguments and order
journal: j-J-COMPUT-PHYS
volume: 64
number: 2
pages: 490--509
month: jun
monthnumber: 6
year: 1986
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(86)90046-X
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:30 MST 2012
bibtimestamp: 2012.01.01 15:59:30 MST
URL: http://www.sciencedirect.com/science/article/pii/002199918690046X
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: I. J. Thompson and A. R. Barnett
rawtitle: {Coulomb} and {Bessel} functions of complex arguments and order
abstract:
The Coulomb wavefunctions, originally constructed for real $ varrho > 0 $, real $ eta $ and integer $ lambda geq 0 $ are defined for $ varrho $, $ eta $, and $ lambda $ all complex. We examine the complex continuation of a variety of series and continued-fraction expansions for the Coulomb functions and their logarithmic derivatives, and then see how these expansions may be selectively combined to calculate both the regular and irregular functions and their derivatives. The resulting algorithm [46] is a complex generalisation of Steed's method [6, 7] as it appears in the real procedure COULFG [10]. Complex Whittaker, confluent hypergeometric and Bessel functions can also be calculated.

rawabstract:
The Coulomb wavefunctions, originally constructed for real $ \varrho > 0 $, real $ \eta $ and integer $ \lambda \geq 0 $ are defined for $ \varrho $, $ \eta $, and $ \lambda $ all complex. We examine the complex continuation of a variety of series and continued-fraction expansions for the Coulomb functions and their logarithmic derivatives, and then see how these expansions may be selectively combined to calculate both the regular and irregular functions and their derivatives. The resulting algorithm [46] is a complex generalisation of Steed's method [6, 7] as it appears in the real procedure COULFG [10]. Complex Whittaker, confluent hypergeometric and Bessel functions can also be calculated.

entry:
@Article{Thompson:1986:CBF,
  author =       "I. J. Thompson and A. R. Barnett",
  title =        "{Coulomb} and {Bessel} functions of complex arguments
                 and order",
  journal =      j-J-COMPUT-PHYS,
  volume =       "64",
  number =       "2",
  pages =        "490--509",
  month =        jun,
  year =         "1986",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(86)90046-X",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:30 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/002199918690046X",
  abstract =     "The Coulomb wavefunctions, originally constructed for
                 real $ \varrho > 0 $, real $ \eta $ and integer $
                 \lambda \geq 0 $ are defined for $ \varrho $, $ \eta $,
                 and $ \lambda $ all complex. We examine the complex
                 continuation of a variety of series and
                 continued-fraction expansions for the Coulomb functions
                 and their logarithmic derivatives, and then see how
                 these expansions may be selectively combined to
                 calculate both the regular and irregular functions and
                 their derivatives. The resulting algorithm [46] is a
                 complex generalisation of Steed's method [6, 7] as it
                 appears in the real procedure COULFG [10]. Complex
                 Whittaker, confluent hypergeometric and Bessel
                 functions can also be calculated.",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Zaritskaya:1986:ACE
author: Z. V. Zaritskaya and A. I. Shvaui and P. E. Antonyuk
title: Approximation of certain elementary functions in the metric $ L $. (Russian)
journal: Vestnik L'vov. Politekhn. Inst.
volume: 202
pages: 38--40
year: 1986
MRclass: 149.41A10 (33A10)
MRnumber: 87j:41030
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
language: Russian
acknowledgement: ack-nhfb
rawauthor: Z. V. Zaritskaya and A. I. Shva{\u\i} and P. {\=E}. Antonyuk
rawtitle: Approximation of certain elementary functions in the metric $ {L} $. ({Russian})
entry:
@Article{Zaritskaya:1986:ACE,
  author =       "Z. V. Zaritskaya and A. I. Shva{\u\i} and P. {\=E}.
                 Antonyuk",
  title =        "Approximation of certain elementary functions in the
                 metric $ {L} $. ({Russian})",
  journal =      "Vestnik L'vov. Politekhn. Inst.",
  volume =       "202",
  pages =        "38--40",
  year =         "1986",
  MRclass =      "149.41A10 (33A10)",
  MRnumber =     "87j:41030",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  language =     "Russian",
}


bibtype: article
filename: elefunt.bib
label: Agarwal:1987:CNS
journal: j-IBM-JRD
volume: 31
number: 2
pages: 274--274
year: 1987
CODEN: IBMJAE
ISSN: 0018-8646 (print), 2151-8556 (electronic) OR 00188646 (print), 21518556 (electronic)
ISSNL: 0018-8646 OR 00188646
MRclass: 76W05
MRnumber: MR894626
bibdate: Wed Apr 13 06:46:35 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.13 06:46:35 ???
note: See cite Agarwal:1986:NSV.
fjournal: International Business Machines Corporation. Journal of Research and Development
acknowledgement: ack-nhfb
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520
rawnote: See \cite{Agarwal:1986:NSV}.
author:
Ramesh C. Agarwal and James W. Cooley and Fred G. Gustavson and James B. Shearer and Gordon Slishman and Bryant Tuckerman

title:
Clarification: ``New scalar and vector elementary functions for the IBM System/370'' [IBM J. Res. Develop. bf 30 (1986), no. 2, 126--144]

rawtitle:
Clarification: {``New scalar and vector elementary functions for the IBM System/370''} [{IBM J. Res. Develop. {\bf 30} (1986), no. 2, 126--144}]

entry:
@Article{Agarwal:1987:CNS,
  author =       "Ramesh C. Agarwal and James W. Cooley and Fred G.
                 Gustavson and James B. Shearer and Gordon Slishman and
                 Bryant Tuckerman",
  title =        "Clarification: {``New scalar and vector elementary
                 functions for the IBM System/370''} [{IBM J. Res.
                 Develop. {\bf 30} (1986), no. 2, 126--144}]",
  journal =      j-IBM-JRD,
  volume =       "31",
  number =       "2",
  pages =        "274--274",
  year =         "1987",
  CODEN =        "IBMJAE",
  ISSN =         "0018-8646 (print), 2151-8556 (electronic)",
  ISSN-L =       "0018-8646",
  MRclass =      "76W05",
  MRnumber =     "MR894626",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Agarwal:1986:NSV}.",
  acknowledgement = ack-nhfb,
  fjournal =     "International Business Machines Corporation. Journal
                 of Research and Development",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520",
}


bibtype: phdthesis
filename: elefunt.bib
label: Braune:1987:HSF
author: K. Braune
type: Dissertation
school: Universitat Karlsruhe
address: Karlsruhe, Germany
year: 1987
bibdate: Fri Sep 16 16:30:40 1994
bibsource: garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.09.16 16:30:40 ???
acknowledgement: ack-nj
rawauthor: K. Braune
title:
Hochgenaue Standardfunktionen fur reelle und komplexe Punkte und Intervalle in beliebigen Gleitpunktrastern toenglish High-Accuracy Elementary Functions for Real and Complex Points and Intervals in Arbitrary Floating-Point Systems endtoenglish 

rawtitle:
{Hochgenaue Standardfunktionen f{\"u}r reelle und komplexe Punkte und Intervalle in beliebigen Gleitpunktrastern} \toenglish {High-Accuracy Elementary Functions for Real and Complex Points and Intervals in Arbitrary Floating-Point Systems} \endtoenglish

entry:
@PhdThesis{Braune:1987:HSF,
  author =       "K. Braune",
  title =        "{Hochgenaue Standardfunktionen f{\"u}r reelle und
                 komplexe Punkte und Intervalle in beliebigen
                 Gleitpunktrastern} \toenglish {High-Accuracy Elementary
                 Functions for Real and Complex Points and Intervals in
                 Arbitrary Floating-Point Systems} \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1987",
  bibdate =      "Fri Sep 16 16:30:40 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}


bibtype: article
filename: elefunt.bib
label: Buhring:1987:BUA
author: Wolfgang Buhring
title: The behavior at unit argument of the hypergeometric function $_3 F_2$
journal: j-SIAM-J-MATH-ANA
volume: 18
number: 5
pages: 1227--1234
month: sep
monthnumber: 9
year: 1987
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
MRclass: 33A30
MRnumber: 88j:33004
MRreviewer: K. M. Saksena
bibdate: Sun Nov 28 19:24:11 MST 2010
bibtimestamp: 2010.11.28 19:24:11 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: Wolfgang B{\"u}hring
rawtitle: The behavior at unit argument of the hypergeometric function {${}_3 F_2$}
bibsource:
http://epubs.siam.org/sam-bin/dbq/toc/SIMA/18/5; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib

entry:
@Article{Buhring:1987:BUA,
  author =       "Wolfgang B{\"u}hring",
  title =        "The behavior at unit argument of the hypergeometric
                 function {${}_3 F_2$}",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "18",
  number =       "5",
  pages =        "1227--1234",
  month =        sep,
  year =         "1987",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "33A30",
  MRnumber =     "88j:33004",
  MRreviewer =   "K. M. Saksena",
  bibdate =      "Sun Nov 28 19:24:11 MST 2010",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/18/5;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamjmathana.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}


bibtype: article
filename: elefunt.bib
label: Carlson:1987:TEI
author: B. C. Carlson
title: A Table of Elliptic Integrals of the Second Kind
journal: j-MATH-COMPUT
volume: 49
number: 180
pages: 595--606, S13--S17
month: oct
monthnumber: 10
year: 1987
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65A05 (33A25 65V05)
MRnumber: 89b:65013
MRreviewer: F. W. J. Olver
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: C4160 (Numerical integration and differentiation); C7310 (Mathematics)
corpsource: Dept. of Math., Iowa State Univ., Ames, IA, USA
journalURL: http://www.ams.org/mcom/
treatment: P Practical; T Theoretical or Mathematical; X Experimental
rawauthor: B. C. Carlson
rawtitle: A Table of Elliptic Integrals of the Second Kind
keywords:
elliptic integrals of the second kind; FORTRAN listings; integration; mathematics computing; standard R-functions

entry:
@Article{Carlson:1987:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals of the Second Kind",
  journal =      j-MATH-COMPUT,
  volume =       "49",
  number =       "180",
  pages =        "595--606, S13--S17",
  month =        oct,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65A05 (33A25 65V05)",
  MRnumber =     "89b:65013",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4160 (Numerical integration and differentiation);
                 C7310 (Mathematics)",
  corpsource =   "Dept. of Math., Iowa State Univ., Ames, IA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "elliptic integrals of the second kind; FORTRAN
                 listings; integration; mathematics computing; standard
                 R-functions",
  treatment =    "P Practical; T Theoretical or Mathematical; X
                 Experimental",
}


bibtype: article
filename: elefunt.bib
label: Crandall:1987:EFE
author: R. E. Crandall and J. P. Buhler
title: Elementary function expansions for Madelung constants
journal: j-J-PHYS-A
volume: 20
number: 16
pages: 5497--5510
year: 1987
CODEN: JPHAC5
ISSN: 0305-4470 (print), 1361-6447 (electronic) OR 03054470 (print), 13616447 (electronic)
ISSNL: 0305-4470 OR 03054470
MRclass: 82A60 (82-08)
MRnumber: MR924725 (88m:82034)
bibdate: Wed Apr 13 06:46:35 2005
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.13 06:46:35 ???
fjournal: Journal of Physics. A. Mathematical and General
acknowledgement: ack-nhfb
journalURL: http://iopscience.iop.org/0305-4470
rawauthor: R. E. Crandall and J. P. Buhler
rawtitle: Elementary function expansions for {Madelung} constants
entry:
@Article{Crandall:1987:EFE,
  author =       "R. E. Crandall and J. P. Buhler",
  title =        "Elementary function expansions for {Madelung}
                 constants",
  journal =      j-J-PHYS-A,
  volume =       "20",
  number =       "16",
  pages =        "5497--5510",
  year =         "1987",
  CODEN =        "JPHAC5",
  ISSN =         "0305-4470 (print), 1361-6447 (electronic)",
  ISSN-L =       "0305-4470",
  MRclass =      "82A60 (82-08)",
  MRnumber =     "MR924725 (88m:82034)",
  bibdate =      "Wed Apr 13 06:46:35 2005",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Physics. A. Mathematical and General",
  journal-URL =  "http://iopscience.iop.org/0305-4470",
}


bibtype: article
filename: elefunt.bib
label: DiDonato:1987:AFS
author: Armido R. DiDonato and Alfred H. Morris Jr.
journal: j-TOMS
volume: 13
number: 3
pages: 318--319
month: sep
monthnumber: 9
year: 1987
CODEN: ACMSCU
DOI: https://doi.org/10.1145/29380.214348
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
bibdate: Sun Sep 4 21:43:08 1994
bibtimestamp: 1994.09.04 21:43:08 ???
URL: https://dl.acm.org/doi/pdf/10.1145/29380.214348
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Armido R. {DiDonato} and Alfred H. {Morris Jr.}
title:
Algorithm 654: FORTRAN Subroutines for Computing the Incomplete Gamma Function Ratios and their Inverse

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fortran2.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib

subject:
bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation. bf G.m: Mathematics of Computing, MISCELLANEOUS.

rawtitle:
{Algorithm 654}: {FORTRAN} Subroutines for Computing the Incomplete Gamma Function Ratios and their Inverse

entry:
@Article{DiDonato:1987:AFS,
  author =       "Armido R. {DiDonato} and Alfred H. {Morris Jr.}",
  title =        "{Algorithm 654}: {FORTRAN} Subroutines for Computing
                 the Incomplete Gamma Function Ratios and their
                 Inverse",
  journal =      j-TOMS,
  volume =       "13",
  number =       "3",
  pages =        "318--319",
  month =        sep,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/29380.214348",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  bibdate =      "Sun Sep 4 21:43:08 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fortran2.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  URL =          "https://dl.acm.org/doi/pdf/10.1145/29380.214348",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "algorithms",
  subject =      "{\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation. {\bf G.m}: Mathematics of
                 Computing, MISCELLANEOUS.",
}


bibtype: article
filename: elefunt.bib
label: Dunham:1987:PMAa
author: Charles B. Dunham
title: Provably monotone approximations
journal: j-SIGNUM
volume: 22
number: 2
pages: 6--11
month: apr
monthnumber: 4
year: 1987
CODEN: SNEWD6
DOI: https://doi.org/10.1145/24936.24938
ISSN: 0163-5778 (print), 1558-0237 (electronic) OR 01635778 (print), 15580237 (electronic)
ISSNL: 0163-5778 OR 01635778
bibdate: Tue Apr 12 07:50:15 MDT 2005
bibsource: http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.12 07:50:15 MDT
fjournal: ACM SIGNUM Newsletter
keywords: theory; verification
subject: G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS, Approximation
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/signum
rawauthor: Charles B. Dunham
rawtitle: Provably monotone approximations
entry:
@Article{Dunham:1987:PMAa,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "2",
  pages =        "6--11",
  month =        apr,
  year =         "1987",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/24936.24938",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:15 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "theory; verification",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}


bibtype: article
filename: elefunt.bib
label: Dunham:1987:PMAb
author: Charles B. Dunham
title: Provably monotone approximations, II
journal: j-SIGNUM
volume: 22
number: 3
pages: 30--31
month: jul
monthnumber: 7
year: 1987
CODEN: SNEWD6
DOI: https://doi.org/10.1145/36318.36323
ISSN: 0163-5778 (print), 1558-0237 (electronic) OR 01635778 (print), 15580237 (electronic)
ISSNL: 0163-5778 OR 01635778
bibdate: Tue Apr 12 07:50:15 MDT 2005
bibsource: http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.12 07:50:15 MDT
fjournal: ACM SIGNUM Newsletter
keywords: theory
subject: G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS, Approximation
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/signum
rawauthor: Charles B. Dunham
rawtitle: Provably monotone approximations, {II}
entry:
@Article{Dunham:1987:PMAb,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations, {II}",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "3",
  pages =        "30--31",
  month =        jul,
  year =         "1987",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/36318.36323",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:15 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "theory",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}


bibtype: article
filename: elefunt.bib
label: Gervais:1987:RAF
author: R. Gervais and Q. I. Rahman and G. Schmeisser
title: Representation and approximation of functions via $ (0, 2) $-interpolation
journal: j-J-APPROX-THEORY
volume: 50
number: 2
pages: 89--110
month: jun
monthnumber: 6
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: R. Gervais and Q. I. Rahman and G. Schmeisser
rawtitle: Representation and approximation of functions via $ (0, 2) $-interpolation
entry:
@Article{Gervais:1987:RAF,
  author =       "R. Gervais and Q. I. Rahman and G. Schmeisser",
  title =        "Representation and approximation of functions via $
                 (0, 2) $-interpolation",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "2",
  pages =        "89--110",
  month =        jun,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30719",
  catcode =      "G.1.2; G.1.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.1 Interpolation; G.1.1 Spline and
                 piecewise polynomial interpolation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Spline and piecewise polynomial
                 interpolation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09238",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Ifantis:1987:UBF
author: E. K. Ifantis and P. D. Siafarikas and C. B. Kouris
title: Upper bounds for the first zeros of Bessel functions
journal: j-J-COMPUT-APPL-MATH
volume: 17
number: 3
pages: 355--358
month: mar
monthnumber: 3
year: 1987
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 11:59:57 MST 2017
bibtimestamp: 2017.02.25 11:59:57 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042787901117
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: E. K. Ifantis and P. D. Siafarikas and C. B. Kouris
rawtitle: Upper bounds for the first zeros of {Bessel} functions
entry:
@Article{Ifantis:1987:UBF,
  author =       "E. K. Ifantis and P. D. Siafarikas and C. B. Kouris",
  title =        "Upper bounds for the first zeros of {Bessel}
                 functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "17",
  number =       "3",
  pages =        "355--358",
  month =        mar,
  year =         "1987",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 11:59:57 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042787901117",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Johnson:1987:AES
author: Kenneth C. Johnson
title: Algorithm 650: Efficient Square Root Implementation on the 68000
journal: j-TOMS
volume: 13
number: 2
pages: 138--151
month: jun
monthnumber: 6
year: 1987
CODEN: ACMSCU
DOI: https://doi.org/10.1145/328512.328520
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D15
MRnumber: 898 489
bibdate: Sun Sep 4 21:36:32 1994
bibtimestamp: 1994.09.04 21:36:32 ???
note: See also cite Johnson:1987:CES.
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nj
journalURL: https://dl.acm.org/loi/toms
rawauthor: Kenneth C. Johnson
rawnote: See also \cite{Johnson:1987:CES}.
rawtitle: {Algorithm 650}: Efficient Square Root Implementation on the 68000
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib

entry:
@Article{Johnson:1987:AES,
  author =       "Kenneth C. Johnson",
  title =        "{Algorithm 650}: Efficient Square Root Implementation
                 on the 68000",
  journal =      j-TOMS,
  volume =       "13",
  number =       "2",
  pages =        "138--151",
  month =        jun,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/328512.328520",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D15",
  MRnumber =     "898 489",
  bibdate =      "Sun Sep 4 21:36:32 1994",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See also \cite{Johnson:1987:CES}.",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}


bibtype: article
filename: elefunt.bib
label: Johnson:1987:CES
author: Kenneth C. Johnson
journal: j-TOMS
volume: 13
number: 3
pages: 320--320
month: sep
monthnumber: 9
year: 1987
CODEN: ACMSCU
DOI: https://doi.org/10.1145/29380.356210
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 320. 65D15
MRnumber: 918 582
note: See cite Johnson:1987:AES.
fjournal: ACM Transactions on Mathematical Software (TOMS)
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: Kenneth C. Johnson
rawnote: See \cite{Johnson:1987:AES}.
title:
Corrigendum: ``Algorithm 650: efficient square root implementation on the 68000'' [ACM Trans. Math. Software bf 13 (1987), no. 2, 138--151]

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/toms.bib

rawtitle:
Corrigendum: {``Algorithm 650: efficient square root implementation on the 68000'' [ACM Trans. Math. Software {\bf 13} (1987), no. 2, 138--151]}

entry:
@Article{Johnson:1987:CES,
  author =       "Kenneth C. Johnson",
  title =        "Corrigendum: {``Algorithm 650: efficient square root
                 implementation on the 68000'' [ACM Trans. Math.
                 Software {\bf 13} (1987), no. 2, 138--151]}",
  journal =      j-TOMS,
  volume =       "13",
  number =       "3",
  pages =        "320--320",
  month =        sep,
  year =         "1987",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/29380.356210",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "320. 65D15",
  MRnumber =     "918 582",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/toms.bib",
  note =         "See \cite{Johnson:1987:AES}.",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "https://dl.acm.org/loi/toms",
}


bibtype: inproceedings
filename: elefunt.bib
label: Kahan:1987:BCC
author: W. Kahan
title: Branch Cuts for Complex Elementary Functions or Much Ado About Nothing's Sign Bit
crossref: Iserles:1987:SAN
volume: 9
pages: 165--211
year: 1987
MRclass: 65E05
MRnumber: 88k:65027
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
series: Inst. Math. Appl. Conf. Ser. New Ser.
acknowledgement: ack-nhfb
rawauthor: W. Kahan
rawtitle: Branch Cuts for Complex Elementary Functions or Much Ado About Nothing's Sign Bit
entry:
@InProceedings{Kahan:1987:BCC,
  author =       "W. Kahan",
  title =        "Branch Cuts for Complex Elementary Functions or Much
                 Ado About Nothing's Sign Bit",
  crossref =     "Iserles:1987:SAN",
  volume =       "9",
  pages =        "165--211",
  year =         "1987",
  MRclass =      "65E05",
  MRnumber =     "88k:65027",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Kolbig:1987:BRC
author: K. S. Kolbig
journal: j-SIAM-REVIEW
volume: 29
number: 4
pages: 660--661
year: 1987
CODEN: SIREAD
DOI: https://doi.org/10.1137/1029138
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
bibdate: Sat Mar 29 09:54:19 MDT 2014
bibtimestamp: 2014.03.29 09:54:19 MDT
fjournal: SIAM Review
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sirev
onlinedate: December 1987
rawauthor: K. S. K{\"o}lbig
title:
Book Review: booktitle Calculation of Special Functions, the Gamma Function, the Exponential Integrals and Error-Like Functions (C. G. van der Laan and N. M. Temme)

bibsource:
http://epubs.siam.org/toc/siread/29/4; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

rawtitle:
Book Review: {{\booktitle{Calculation of Special Functions, the Gamma Function, the Exponential Integrals and Error-Like Functions}} (C. G. van der Laan and N. M. Temme)}

entry:
@Article{Kolbig:1987:BRC,
  author =       "K. S. K{\"o}lbig",
  title =        "Book Review: {{\booktitle{Calculation of Special
                 Functions, the Gamma Function, the Exponential
                 Integrals and Error-Like Functions}} (C. G. van der
                 Laan and N. M. Temme)}",
  journal =      j-SIAM-REVIEW,
  volume =       "29",
  number =       "4",
  pages =        "660--661",
  month =        "????",
  year =         "1987",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1029138",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:54:19 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/29/4;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 1987",
}


bibtype: phdthesis
filename: elefunt.bib
label: Kramer:1987:ISR
author: W. Kramer
type: Dissertation
school: Universitat Karlsruhe
address: Karlsruhe, Germany
year: 1987
bibdate: Fri Sep 16 16:30:41 1994
bibsource: garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.09.16 16:30:41 ???
acknowledgement: ack-nj
authordates: 1952--2014 (WK)
rawauthor: W. Kr{\"a}mer
title:
Inverse Standardfunktionen fur reelle und komplexe Intervallargumente mit a priori Fehlerabschatzungen fur beliebige Datenformate toenglish Inverse Elementary Functions for Real and Complex Interval Arguments with A-Priori Error Estimates for Arbitrary Data Formats endtoenglish 

rawtitle:
Inverse Standardfunktionen f{\"u}r reelle und komplexe Intervallargumente mit a priori Fehlerabsch{\"a}tzungen f{\"u}r beliebige Datenformate \toenglish {Inverse Elementary Functions for Real and Complex Interval Arguments with A-Priori Error Estimates for Arbitrary Data Formats} \endtoenglish

entry:
@PhdThesis{Kramer:1987:ISR,
  author =       "W. Kr{\"a}mer",
  title =        "Inverse Standardfunktionen f{\"u}r reelle und komplexe
                 Intervallargumente mit a priori Fehlerabsch{\"a}tzungen
                 f{\"u}r beliebige Datenformate \toenglish {Inverse
                 Elementary Functions for Real and Complex Interval
                 Arguments with A-Priori Error Estimates for Arbitrary
                 Data Formats} \endtoenglish",
  type =         "Dissertation",
  school =       "Universit{\"a}t Karlsruhe",
  address =      "Karlsruhe, Germany",
  pages =        "????",
  year =         "1987",
  bibdate =      "Fri Sep 16 16:30:41 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
  author-dates = "1952--2014 (WK)",
}


bibtype: article
filename: elefunt.bib
label: Lewanowicz:1987:CRR
author: Stanislaw Lewanowicz
journal: j-MATH-COMPUT
volume: 48
number: 178
pages: 853--853
month: apr
monthnumber: 4
year: 1987
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A35 (65Q05)
MRnumber: 88a:33013
bibdate: Wed Jan 15 09:19:34 1997
bibtimestamp: 1997.01.15 09:19:34 ???
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: Stanis{\l}aw Lewanowicz
title:
Corrigendum: ``Recurrence relations for hypergeometric functions of unit argument'' [Math. Comp. bf 45 (1985), no. 172, 521--535, MR 86m:33004]

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib

rawtitle:
Corrigendum: {``Recurrence relations for hypergeometric functions of unit argument''} {[Math. Comp. {\bf 45} (1985), no. 172, 521--535, MR 86m:33004]}

entry:
@Article{Lewanowicz:1987:CRR,
  author =       "Stanis{\l}aw Lewanowicz",
  title =        "Corrigendum: {``Recurrence relations for
                 hypergeometric functions of unit argument''} {[Math.
                 Comp. {\bf 45} (1985), no. 172, 521--535, MR
                 86m:33004]}",
  journal =      j-MATH-COMPUT,
  volume =       "48",
  number =       "178",
  pages =        "853--853",
  month =        apr,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A35 (65Q05)",
  MRnumber =     "88a:33013",
  bibdate =      "Wed Jan 15 09:19:34 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: mastersthesis
filename: elefunt.bib
label: Liu:1987:BEF
author: Z. A. Liu
title: Berkeley Elementary Function Test Suite
type: M.S. thesis
address: Berkeley, CA, USA
pages: 853--853
month: dec
monthnumber: 12
year: 1987
bibdate: Mon Sep 12 23:52:34 1994
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.09.12 23:52:34 ???
acknowledgement: ack-nj
rawauthor: Z. A. Liu
rawtitle: {Berkeley} Elementary Function Test Suite
school:
Computer Science Division, Department of Electrical Engineering and Computer Science, Univerity of California at Berkeley

entry:
@MastersThesis{Liu:1987:BEF,
  author =       "Z. A. Liu",
  title =        "{Berkeley} Elementary Function Test Suite",
  type =         "{M.S.} thesis",
  school =       "Computer Science Division, Department of Electrical
                 Engineering and Computer Science, Univerity of
                 California at Berkeley",
  address =      "Berkeley, CA, USA",
  month =        dec,
  year =         "1987",
  bibdate =      "Mon Sep 12 23:52:34 1994",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Lo:1987:HGA
author: Hao-Yung Lo and Jau-Ling Chen
title: A Hardwired Generalized Algorithm for Generating the Logarithm Base-$k$ by Iteration
journal: j-IEEE-TRANS-COMPUT
volume: C-36
number: 11
pages: 1363--1367
month: nov
monthnumber: 11
year: 1987
CODEN: ITCOB4
DOI: https://doi.org/10.1109/TC.1987.5009477
ISSN: 0018-9340 (print), 1557-9956 (electronic) OR 00189340 (print), 15579956 (electronic)
ISSNL: 0018-9340 OR 00189340
bibdate: Sat Jul 9 09:28:57 MDT 2011
bibtimestamp: 2011.07.09 09:28:57 MDT
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009477
fjournal: IEEE Transactions on Computers
acknowledgement: ack-nj
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: Hao-Yung Lo and Jau-Ling Chen
rawtitle: A Hardwired Generalized Algorithm for Generating the Logarithm Base-$k$ by Iteration
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib

entry:
@Article{Lo:1987:HGA,
  author =       "Hao-Yung Lo and Jau-Ling Chen",
  title =        "A Hardwired Generalized Algorithm for Generating the
                 Logarithm Base-$k$ by Iteration",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "11",
  pages =        "1363--1367",
  month =        nov,
  year =         "1987",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1987.5009477",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sat Jul 9 09:28:57 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009477",
  acknowledgement = ack-nj # "\slash " # ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}


bibtype: inproceedings
filename: elefunt.bib
label: Mathis:1987:EFP
author: Robert F. Mathis
title: Elementary Functions Package for Ada
crossref: ACM:1987:UAA
pages: 95--100
month: dec
monthnumber: 12
year: 1987
bibdate: Mon May 19 13:30:58 1997
bibtimestamp: 1997.05.19 13:30:58 ???
acknowledgement: ack-nhfb
rawauthor: Robert F. Mathis
rawtitle: Elementary Functions Package for {Ada}
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Compiler/ada.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@InProceedings{Mathis:1987:EFP,
  author =       "Robert F. Mathis",
  title =        "Elementary Functions Package for {Ada}",
  crossref =     "ACM:1987:UAA",
  pages =        "95--100",
  month =        dec,
  year =         "1987",
  bibdate =      "Mon May 19 13:30:58 1997",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/ada.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Moricz:1987:ACF
author: Ferenc Moricz and Xianliang Shi
title: Approximation to continuous functions by Cesaro means of double Fourier series and conjugate series
journal: j-J-APPROX-THEORY
volume: 49
number: 4
pages: 346--377
month: apr
monthnumber: 4
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Ferenc Moricz and Xianliang Shi
rawtitle:
Approximation to continuous functions by {Cesaro} means of double {Fourier} series and conjugate series

entry:
@Article{Moricz:1987:ACF,
  author =       "Ferenc Moricz and Xianliang Shi",
  title =        "Approximation to continuous functions by {Cesaro}
                 means of double {Fourier} series and conjugate series",
  journal =      j-J-APPROX-THEORY,
  volume =       "49",
  number =       "4",
  pages =        "346--377",
  month =        apr,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30744",
  catcode =      "G.1.2; G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Least squares
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Least squares approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09224",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Musielak:1987:AEG
author: J. Musielak
title: Approximation of elements of a generalized Orlicz sequence space by nonlinear, singular kernels
journal: j-J-APPROX-THEORY
volume: 50
number: 4
pages: 366--372
month: aug
monthnumber: 8
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: J. Musielak
rawtitle: Approximation of elements of a generalized {Orlicz} sequence space by nonlinear, singular kernels
subject:
G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Musielak:1987:AEG,
  author =       "J. Musielak",
  title =        "Approximation of elements of a generalized {Orlicz}
                 sequence space by nonlinear, singular kernels",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "4",
  pages =        "366--372",
  month =        aug,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30716",
  catcode =      "G.2.1; G.1.5; G.1.2",
  CRclass =      "G.2.1 Combinatorics; G.2.1 Generating functions; G.1.5
                 Roots of Nonlinear Equations; G.1.5 Convergence; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS,
                 Combinatorics, Generating functions; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Roots of Nonlinear
                 Equations, Convergence; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09257",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Aug. 1987",
  subject =      "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Pereira:1987:CEC
author: N. Costa Pereira
journal: j-MATH-COMPUT
volume: 48
number: 177
pages: 447--447
month: jan
monthnumber: 1
year: 1987
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 11A25 (11N45 11Y35 33A70)
MRnumber: 87k:11006
bibdate: Thu Jun 15 07:27:03 2000
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2000.06.15 07:27:03 ???
note: See cite Pereira:1985:ECF.
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
journalURL: http://www.ams.org/mcom/
rawauthor: N. Costa Pereira
rawnote: See \cite{Pereira:1985:ECF}.
title:
Corrigendum: ``Estimates for the Chebyshev function $ psi (x) - theta (x) $'' [Math. Comp. bf 44 (1985), no. 169, 211--221, MR 86k:11005]

rawtitle:
Corrigendum: {``Estimates for the Chebyshev function $ \psi (x) - \theta (x) $''} {[Math. Comp. {\bf 44} (1985), no. 169, 211--221, MR 86k:11005]}

entry:
@Article{Pereira:1987:CEC,
  author =       "N. Costa Pereira",
  title =        "Corrigendum: {``Estimates for the Chebyshev function $
                 \psi (x) - \theta (x) $''} {[Math. Comp. {\bf 44}
                 (1985), no. 169, 211--221, MR 86k:11005]}",
  journal =      j-MATH-COMPUT,
  volume =       "48",
  number =       "177",
  pages =        "447--447",
  month =        jan,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11A25 (11N45 11Y35 33A70)",
  MRnumber =     "87k:11006",
  bibdate =      "Thu Jun 15 07:27:03 2000",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See \cite{Pereira:1985:ECF}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}


bibtype: article
filename: elefunt.bib
label: Proinov:1987:NIA
author: Petko D. Proinov
title: Numerical integration and approximation of differentiable functions, II
journal: j-J-APPROX-THEORY
volume: 50
number: 4
pages: 373--393
month: aug
monthnumber: 8
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Petko D. Proinov
rawtitle: Numerical integration and approximation of differentiable functions, {II}
entry:
@Article{Proinov:1987:NIA,
  author =       "Petko D. Proinov",
  title =        "Numerical integration and approximation of
                 differentiable functions, {II}",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "4",
  pages =        "373--393",
  month =        aug,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30717",
  catcode =      "G.1.4; G.1.2",
  CRclass =      "G.1.4 Quadrature and Numerical Differentiation; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Quadrature and Numerical Differentiation; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09258",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Aug. 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Rolfe:1987:FIS
author: Timothy J. Rolfe
title: On a Fast Integer Square Root Algorithm
journal: j-SIGNUM
volume: 22
number: 4
pages: 6--11
month: oct
monthnumber: 10
year: 1987
CODEN: SNEWD6
ISSN: 0163-5778 (print), 1558-0237 (electronic) OR 01635778 (print), 15580237 (electronic)
ISSNL: 0163-5778 OR 01635778
bibdate: Tue Apr 12 07:50:16 MDT 2005
bibtimestamp: 2005.04.12 07:50:16 MDT
fjournal: ACM SIGNUM Newsletter
keywords: algorithms; performance; theory
acknowledgement: ack-nj
journalURL: https://dl.acm.org/loi/signum
rawauthor: Timothy J. Rolfe
rawtitle: On a Fast Integer Square Root Algorithm
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/signum.bib

subject:
F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms and Problems, Number-theoretic computations

entry:
@Article{Rolfe:1987:FIS,
  author =       "Timothy J. Rolfe",
  title =        "On a Fast Integer Square Root Algorithm",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "4",
  pages =        "6--11",
  month =        oct,
  year =         "1987",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:16 MDT 2005",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 http://portal.acm.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/signum.bib",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "algorithms; performance; theory",
  subject =      "F.2.1 Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Number-theoretic computations",
}


bibtype: article
filename: elefunt.bib
label: Smith:1987:BAM
author: P. W. Smith and J. J. Swetits
title: Best approximation by monotone functions
journal: j-J-APPROX-THEORY
volume: 49
number: 4
pages: 398--403
month: apr
monthnumber: 4
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: P. W. Smith and J. J. Swetits
rawtitle: Best approximation by monotone functions
entry:
@Article{Smith:1987:BAM,
  author =       "P. W. Smith and J. J. Swetits",
  title =        "Best approximation by monotone functions",
  journal =      j-J-APPROX-THEORY,
  volume =       "49",
  number =       "4",
  pages =        "398--403",
  month =        apr,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30747",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09227",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Spanier:1987:AF
author: Jerome Spanier and Keith B. Oldham
title: An Atlas of Functions
publisher: pub-HEMISPHERE
address: pub-HEMISPHERE:adr
pages: ix + 700
year: 1987
ISBN: 0-89116-573-8, 3-540-17395-1 OR 0891165738, 3540173951
ISBN13: 978-0-89116-573-6, 978-3-540-17395-3 OR 9780891165736, 9783540173953
LCCN: QA331 .S685 1987
bibdate: Fri Aug 31 16:20:13 MDT 2007
bibtimestamp: 2007.08.31 16:20:13 MDT
note: See also the second edition cite Oldham:2009:AF.
acknowledgement: ack-nhfb
rawauthor: Jerome Spanier and Keith B. Oldham
rawnote: See also the second edition \cite{Oldham:2009:AF}.
rawtitle: An Atlas of Functions
bibsource:
https://www.math.utah.edu/pub/tex/bib/canjstat.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.loc.gov:7090/Voyager

subject:
elementary functions; special functions; cognate functions; complementary incomplete gamma function; complementary modulus; complete beta function; complex argument when; cosecant functions; cotangent functions; digamma function; economized polynomial; error function complement; eta numbers; function and its reciprocal; hypergeometric algorithm; important definite integrals; incomplete elliptic integrals; inverse gudermannian function; inverse hyperbolic functions; negative integer order; other definite integrals; parabolic cylinder function; polygamma functions; purely imaginary argument; reciprocal linear function; reflection formula

TOC:
Preface / ix 0 General Considerations / 1 1 The Constant Function $c$ / 11 2 The Factorial Function $n!$ and Its Reciprocal / 19 3 The Zeta Numbers and Related Functions / 25 4 The Bernoulli Numbers, $B_n$ / 35 5 The Euler Numbers, $E_n$ / 39 6 The Binomial Coefficients $binom nu m$ / 43 7 The Linear Function $b x + c$ and Its Reciprocal / 53 8 The Unit-Step $u(x - a)$ and Related Functions / 63 9 The Integer-Value $tt Int(x)$ and Fractional-Value $tt frac(x)$ Functions / 71 10 The Dirac Delta Function $delta (x - a)$ / 79 11 The Integer Powers $(bx + c)^n$ and $x^n$ / 83 12 The Square-Root Function $sqrt b x + c$ and Its Reciprocal / 91 13 The Noninteger Powers $x^nu $ / 99 14 The $b sqrt a^2 - x^2$ Function and Its Reciprocal / 107 15 The $b sqrt x^2 + a$ Function and Its Reciprocal / 115 16 The Quadratic Function $a x^2 + b x + c$ and Its Reciprocal / 123 17 The Cubic Function $x^3 + a x^2 + b x + c$ and Higher Polynomials / 131 18 The Pochhammer Polynomials $(x)_n$ / 149 19 The Bernoulli Polynomials $B_n(x)$ / 167 20 The Euler Polynomials $E_n(x)$ / 175 21 The Legendre Polynomials $P_n(x)$ / 183 22 The Chebyshev Polynomials $T_n(x)$ and $U_n(x)$ / 193 23 The Laguerre Polynomials $L_n(x)$ / 209 24 The Hermite Polynomials $H_n(x)$ / 217 25 The Logarithmic Function $ln (x)$ / 225 26 The Exponential Function $exp (b x + c)$ / 233 27 Exponentials of Powers $exp (-a x^nu )$ / 253 28 The Hyperbolic Sine $sinh (x)$ and Cosine $cosh (x)$ Functions / 263 29 The Hyperbolic Secant $sech (x)$ and Cosecant $csch (x)$ Functions / 273 30 The Hyperbolic Tangent $tanh (x)$ and Cotangent $coth (x)$ Functions / 279 31 The Inverse Hyperbolic Functions / 285 32 The Sine $sin (x)$ and Cosine $cos (x)$ Functions / 295 33 The Secant $sec (x)$ and Cosecant $csc (x)$ Functions / 311 34 The Tangent $tan (x)$ and Cotangent $cot (x)$ Functions / 319 35 The Inverse Trigonometric Functions / 331 36 Periodic Functions / 343 37 The Exponential Integral $Ei (x)$ and Related Functions / 351 38 Sine and Cosine Integrals / 361 39 The Fresnel Integrals $S(x)$ and $C(x)$ / 373 40 The Error Function $erf (x)$ and Its Complement $erfc (x)$ / 385 41 The $exp (x) erfc (sqrt x)$ and Related Functions / 395 42 Dawson's Integral / 405 43 The Gamma Function $Gamma (x)$ / 411 44 The Digamma Function $psi (x)$ / 423 45 The Incomplete Gamma $gamma (nu ,x)$ and Related Functions / 435 46 The Parabolic Cylinder Function $D_nu (x)$ / 445 47 The Kummer Function $M(a; c; x)$ / 459 48 The Tricomi Function $U(a; c; x)$ 471 49 The Hyperbolic Bessel Functions $I_0(x)$ and $I_1(x)$ / 479 50 The General Hyperbolic Bessel Function $I_nu (x)$ / 489 51 The Basset Function $K_nu (x)$ / 499 52 The Bessel Coefficients $J_0(x)$ and $J_1(x)$ / 509 53 The Bessel Function $J_nu (x)$ / 521 54 The Neumann Function $Y_nu (x)$ / 533 55 The Kelvin Functions / 543 56 The Airy Functions $Ai (x)$ and $Bi (x)$ / 555 57 The Struve Function / 563 58 The Incomplete Beta Function $B(nu ; mu ; x)$ / 573 59 The Legendre Functions $P_nu (x)$ and $Q_nu (x)$ / 581 60 The Gauss Function $F(a, b; c; x)$ / 599 61 The Complete Elliptic Integrals $K(p)$ and $E(p)$ / 609 62 The Incomplete Elliptic Integrals $F(p; phi )$ and $E(p; phi )$ / 621 63 The Jacobian Elliptic Functions / 635 64 The Hurwitz Function $zeta (nu ; u)$ / 653 Appendix A Utility Algorithms / 665 Appendix B Some Useful Data / 673 References and Bibliography / 679 Subject Index / 681 Symbol Index / 691

rawTOC:
Preface / ix \\ 0 General Considerations / 1 \\ 1 The Constant Function $c$ / 11 \\ 2 The Factorial Function $n!$ and Its Reciprocal / 19 \\ 3 The Zeta Numbers and Related Functions / 25 \\ 4 The Bernoulli Numbers, $B_n$ / 35 \\ 5 The Euler Numbers, $E_n$ / 39 \\ 6 The Binomial Coefficients $\binom{\nu}{m}$ / 43 \\ 7 The Linear Function $b x + c$ and Its Reciprocal / 53 \\ 8 The Unit-Step $u(x - a)$ and Related Functions / 63 \\ 9 The Integer-Value ${\tt Int}(x)$ and Fractional-Value ${\tt frac}(x)$ Functions / 71 \\ 10 The Dirac Delta Function $\delta(x - a)$ / 79 \\ 11 The Integer Powers $(bx + c)^n$ and $x^n$ / 83 \\ 12 The Square-Root Function $\sqrt{b x + c}$ and Its Reciprocal / 91 \\ 13 The Noninteger Powers $x^\nu$ / 99 \\ 14 The $b \sqrt{a^2 - x^2}$ Function and Its Reciprocal / 107 \\ 15 The $b \sqrt{x^2 + a}$ Function and Its Reciprocal / 115 \\ 16 The Quadratic Function $a x^2 + b x + c$ and Its Reciprocal / 123 \\ 17 The Cubic Function $x^3 + a x^2 + b x + c$ and Higher Polynomials / 131 \\ 18 The Pochhammer Polynomials $(x)_n$ / 149 \\ 19 The Bernoulli Polynomials $B_n(x)$ / 167 \\ 20 The Euler Polynomials $E_n(x)$ / 175 \\ 21 The Legendre Polynomials $P_n(x)$ / 183 \\ 22 The Chebyshev Polynomials $T_n(x)$ and $U_n(x)$ / 193 \\ 23 The Laguerre Polynomials $L_n(x)$ / 209 \\ 24 The Hermite Polynomials $H_n(x)$ / 217 \\ 25 The Logarithmic Function $\ln(x)$ / 225 \\ 26 The Exponential Function $\exp(b x + c)$ / 233 \\ 27 Exponentials of Powers $\exp(-a x^\nu)$ / 253 \\ 28 The Hyperbolic Sine $\sinh(x)$ and Cosine $\cosh(x)$ Functions / 263 \\ 29 The Hyperbolic Secant $\sech(x)$ and Cosecant $\csch(x)$ Functions / 273 \\ 30 The Hyperbolic Tangent $\tanh(x)$ and Cotangent $\coth(x)$ Functions / 279 \\ 31 The Inverse Hyperbolic Functions / 285 \\ 32 The Sine $\sin(x)$ and Cosine $\cos(x)$ Functions / 295 \\ 33 The Secant $\sec(x)$ and Cosecant $\csc(x)$ Functions / 311 \\ 34 The Tangent $\tan(x)$ and Cotangent $\cot(x)$ Functions / 319 \\ 35 The Inverse Trigonometric Functions / 331 \\ 36 Periodic Functions / 343 \\ 37 The Exponential Integral $\Ei(x)$ and Related Functions / 351 \\ 38 Sine and Cosine Integrals / 361 \\ 39 The Fresnel Integrals $S(x)$ and $C(x)$ / 373 \\ 40 The Error Function $\erf(x)$ and Its Complement $\erfc(x)$ / 385 \\ 41 The $\exp(x) \erfc(\sqrt{x})$ and Related Functions / 395 \\ 42 Dawson's Integral / 405 \\ 43 The Gamma Function $\Gamma(x)$ / 411 \\ 44 The Digamma Function $\psi(x)$ / 423 \\ 45 The Incomplete Gamma $\gamma(\nu,x)$ and Related Functions / 435 \\ 46 The Parabolic Cylinder Function $D_\nu(x)$ / 445 \\ 47 The Kummer Function $M(a; c; x)$ / 459 \\ 48 The Tricomi Function $U(a; c; x)$ 471 \\ 49 The Hyperbolic Bessel Functions $I_0(x)$ and $I_1(x)$ / 479 \\ 50 The General Hyperbolic Bessel Function $I_\nu(x)$ / 489 \\ 51 The Basset Function $K_\nu(x)$ / 499 \\ 52 The Bessel Coefficients $J_0(x)$ and $J_1(x)$ / 509 \\ 53 The Bessel Function $J_\nu(x)$ / 521 \\ 54 The Neumann Function $Y_\nu(x)$ / 533 \\ 55 The Kelvin Functions / 543 \\ 56 The Airy Functions $\Ai(x)$ and $\Bi(x)$ / 555 \\ 57 The Struve Function / 563 \\ 58 The Incomplete Beta Function $B(\nu; \mu; x)$ / 573 \\ 59 The Legendre Functions $P_\nu(x)$ and $Q_\nu(x)$ / 581 \\ 60 The Gauss Function $F(a, b; c; x)$ / 599 \\ 61 The Complete Elliptic Integrals $K(p)$ and $E(p)$ / 609 \\ 62 The Incomplete Elliptic Integrals $F(p; \phi)$ and $E(p; \phi)$ / 621 \\ 63 The Jacobian Elliptic Functions / 635 \\ 64 The Hurwitz Function $\zeta(\nu; u)$ / 653 \\ Appendix A Utility Algorithms / 665 \\ Appendix B Some Useful Data / 673 \\ References and Bibliography / 679 \\ Subject Index / 681 \\ Symbol Index / 691

entry:
@Book{Spanier:1987:AF,
  author =       "Jerome Spanier and Keith B. Oldham",
  title =        "An Atlas of Functions",
  publisher =    pub-HEMISPHERE,
  address =      pub-HEMISPHERE:adr,
  pages =        "ix + 700",
  year =         "1987",
  ISBN =         "0-89116-573-8, 3-540-17395-1",
  ISBN-13 =      "978-0-89116-573-6, 978-3-540-17395-3",
  LCCN =         "QA331 .S685 1987",
  bibdate =      "Fri Aug 31 16:20:13 MDT 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/canjstat.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.loc.gov:7090/Voyager",
  note =         "See also the second edition \cite{Oldham:2009:AF}.",
  acknowledgement = ack-nhfb,
  subject =      "elementary functions; special functions; cognate
                 functions; complementary incomplete gamma function;
                 complementary modulus; complete beta function; complex
                 argument when; cosecant functions; cotangent functions;
                 digamma function; economized polynomial; error function
                 complement; eta numbers; function and its reciprocal;
                 hypergeometric algorithm; important definite integrals;
                 incomplete elliptic integrals; inverse gudermannian
                 function; inverse hyperbolic functions; negative
                 integer order; other definite integrals; parabolic
                 cylinder function; polygamma functions; purely
                 imaginary argument; reciprocal linear function;
                 reflection formula",
  tableofcontents = "Preface / ix \\
                 0 General Considerations / 1 \\
                 1 The Constant Function $c$ / 11 \\
                 2 The Factorial Function $n!$ and Its Reciprocal / 19
                 \\
                 3 The Zeta Numbers and Related Functions / 25 \\
                 4 The Bernoulli Numbers, $B_n$ / 35 \\
                 5 The Euler Numbers, $E_n$ / 39 \\
                 6 The Binomial Coefficients $\binom{\nu}{m}$ / 43 \\
                 7 The Linear Function $b x + c$ and Its Reciprocal / 53
                 \\
                 8 The Unit-Step $u(x - a)$ and Related Functions / 63
                 \\
                 9 The Integer-Value ${\tt Int}(x)$ and Fractional-Value
                 ${\tt frac}(x)$ Functions / 71 \\
                 10 The Dirac Delta Function $\delta(x - a)$ / 79 \\
                 11 The Integer Powers $(bx + c)^n$ and $x^n$ / 83 \\
                 12 The Square-Root Function $\sqrt{b x + c}$ and Its
                 Reciprocal / 91 \\
                 13 The Noninteger Powers $x^\nu$ / 99 \\
                 14 The $b \sqrt{a^2 - x^2}$ Function and Its Reciprocal
                 / 107 \\
                 15 The $b \sqrt{x^2 + a}$ Function and Its Reciprocal /
                 115 \\
                 16 The Quadratic Function $a x^2 + b x + c$ and Its
                 Reciprocal / 123 \\
                 17 The Cubic Function $x^3 + a x^2 + b x + c$ and
                 Higher Polynomials / 131 \\
                 18 The Pochhammer Polynomials $(x)_n$ / 149 \\
                 19 The Bernoulli Polynomials $B_n(x)$ / 167 \\
                 20 The Euler Polynomials $E_n(x)$ / 175 \\
                 21 The Legendre Polynomials $P_n(x)$ / 183 \\
                 22 The Chebyshev Polynomials $T_n(x)$ and $U_n(x)$ /
                 193 \\
                 23 The Laguerre Polynomials $L_n(x)$ / 209 \\
                 24 The Hermite Polynomials $H_n(x)$ / 217 \\
                 25 The Logarithmic Function $\ln(x)$ / 225 \\
                 26 The Exponential Function $\exp(b x + c)$ / 233 \\
                 27 Exponentials of Powers $\exp(-a x^\nu)$ / 253 \\
                 28 The Hyperbolic Sine $\sinh(x)$ and Cosine $\cosh(x)$
                 Functions / 263 \\
                 29 The Hyperbolic Secant $\sech(x)$ and Cosecant
                 $\csch(x)$ Functions / 273 \\
                 30 The Hyperbolic Tangent $\tanh(x)$ and Cotangent
                 $\coth(x)$ Functions / 279 \\
                 31 The Inverse Hyperbolic Functions / 285 \\
                 32 The Sine $\sin(x)$ and Cosine $\cos(x)$ Functions /
                 295 \\
                 33 The Secant $\sec(x)$ and Cosecant $\csc(x)$
                 Functions / 311 \\
                 34 The Tangent $\tan(x)$ and Cotangent $\cot(x)$
                 Functions / 319 \\
                 35 The Inverse Trigonometric Functions / 331 \\
                 36 Periodic Functions / 343 \\
                 37 The Exponential Integral $\Ei(x)$ and Related
                 Functions / 351 \\
                 38 Sine and Cosine Integrals / 361 \\
                 39 The Fresnel Integrals $S(x)$ and $C(x)$ / 373 \\
                 40 The Error Function $\erf(x)$ and Its Complement
                 $\erfc(x)$ / 385 \\
                 41 The $\exp(x) \erfc(\sqrt{x})$ and Related Functions
                 / 395 \\
                 42 Dawson's Integral / 405 \\
                 43 The Gamma Function $\Gamma(x)$ / 411 \\
                 44 The Digamma Function $\psi(x)$ / 423 \\
                 45 The Incomplete Gamma $\gamma(\nu,x)$ and Related
                 Functions / 435 \\
                 46 The Parabolic Cylinder Function $D_\nu(x)$ / 445 \\
                 47 The Kummer Function $M(a; c; x)$ / 459 \\
                 48 The Tricomi Function $U(a; c; x)$ 471 \\
                 49 The Hyperbolic Bessel Functions $I_0(x)$ and
                 $I_1(x)$ / 479 \\
                 50 The General Hyperbolic Bessel Function $I_\nu(x)$ /
                 489 \\
                 51 The Basset Function $K_\nu(x)$ / 499 \\
                 52 The Bessel Coefficients $J_0(x)$ and $J_1(x)$ / 509
                 \\
                 53 The Bessel Function $J_\nu(x)$ / 521 \\
                 54 The Neumann Function $Y_\nu(x)$ / 533 \\
                 55 The Kelvin Functions / 543 \\
                 56 The Airy Functions $\Ai(x)$ and $\Bi(x)$ / 555 \\
                 57 The Struve Function / 563 \\
                 58 The Incomplete Beta Function $B(\nu; \mu; x)$ / 573
                 \\
                 59 The Legendre Functions $P_\nu(x)$ and $Q_\nu(x)$ /
                 581 \\
                 60 The Gauss Function $F(a, b; c; x)$ / 599 \\
                 61 The Complete Elliptic Integrals $K(p)$ and $E(p)$ /
                 609 \\
                 62 The Incomplete Elliptic Integrals $F(p; \phi)$ and
                 $E(p; \phi)$ / 621 \\
                 63 The Jacobian Elliptic Functions / 635 \\
                 64 The Hurwitz Function $\zeta(\nu; u)$ / 653 \\
                 Appendix A Utility Algorithms / 665 \\
                 Appendix B Some Useful Data / 673 \\
                 References and Bibliography / 679 \\
                 Subject Index / 681 \\
                 Symbol Index / 691",
}


bibtype: article
filename: elefunt.bib
label: Stoyanov:1987:AE
author: Basil J. Stoyanov and Richard A. Farrell
title: On the Asymptotic Evaluation of $ int ^pi / 2_0 J^2_0 (gamma sin x) d x $
journal: j-MATH-COMPUT
volume: 49
number: 179
pages: 275--279
month: jul
monthnumber: 7
year: 1987
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 41A60 (65D30)
MRnumber: 88e:41067
MRreviewer: Roderick Wong
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: C1120 (Analysis); C4180 (Integral equations)
corpsource: Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: Basil J. Stoyanov and Richard A. Farrell
rawtitle: On the Asymptotic Evaluation of $ \int^{\pi / 2}_0 {J}^2_0 (\gamma \sin x) d x $
keywords:
analytical expression; asymptotic behavior; asymptotic evaluation; Bessel functions; first kind; integral; integral equations; order Bessel function; positive parameter; zeroth-

entry:
@Article{Stoyanov:1987:AE,
  author =       "Basil J. Stoyanov and Richard A. Farrell",
  title =        "On the Asymptotic Evaluation of $ \int^{\pi / 2}_0
                 {J}^2_0 (\gamma \sin x) d x $",
  journal =      j-MATH-COMPUT,
  volume =       "49",
  number =       "179",
  pages =        "275--279",
  month =        jul,
  year =         "1987",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "41A60 (65D30)",
  MRnumber =     "88e:41067",
  MRreviewer =   "Roderick Wong",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1120 (Analysis); C4180 (Integral equations)",
  corpsource =   "Appl. Phys. Lab., Johns Hopkins Univ., Laurel, MD,
                 USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "analytical expression; asymptotic behavior; asymptotic
                 evaluation; Bessel functions; first kind; integral;
                 integral equations; order Bessel function; positive
                 parameter; zeroth-",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: inproceedings
filename: elefunt.bib
label: Tanese:1987:PGA
author: Reiko Tanese
editor: John J. Grefenstette
title: Parallel genetic algorithms for a hypercube
publisher: pub-ERLBAUM
address: pub-ERLBAUM:adr
pages: 177--183
year: 1987
ISBN: 0-8058-0158-8, 0-8058-0159-6 (paperback) OR 0805801588, 0805801596 (paperback)
ISBN13: 978-0-8058-0158-3, 978-0-8058-0159-0 (paperback) OR 9780805801583, 9780805801590 (paperback)
LCCN: Q334 .I5561 1987
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
acknowledgement: ack-nhfb
bookpages: 260
rawauthor: Reiko Tanese
raweditor: John J. Grefenstette
rawtitle: Parallel genetic algorithms for a hypercube
booktitle:
Genetic algorithms and their applications: proceedings of the second International Conference on Genetic Algorithms: July 28--31, 1987 at the Massachusetts Institute of Technology, Cambridge, MA

subject:
I. Computing Methodologies; I.2 ARTIFICIAL INTELLIGENCE; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; C. Computer Systems Organization; C.1 PROCESSOR ARCHITECTURES

rawbooktitle:
Genetic algorithms and their applications: proceedings of the second International Conference on Genetic Algorithms: July 28--31, 1987 at the Massachusetts Institute of Technology, Cambridge, {MA}

entry:
@InProceedings{Tanese:1987:PGA,
  author =       "Reiko Tanese",
  editor =       "John J. Grefenstette",
  booktitle =    "Genetic algorithms and their applications: proceedings
                 of the second International Conference on Genetic
                 Algorithms: July 28--31, 1987 at the Massachusetts
                 Institute of Technology, Cambridge, {MA}",
  title =        "Parallel genetic algorithms for a hypercube",
  publisher =    pub-ERLBAUM,
  address =      pub-ERLBAUM:adr,
  bookpages =    "260",
  pages =        "177--183",
  year =         "1987",
  ISBN =         "0-8058-0158-8, 0-8058-0159-6 (paperback)",
  ISBN-13 =      "978-0-8058-0158-3, 978-0-8058-0159-0 (paperback)",
  LCCN =         "Q334 .I5561 1987",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$39.95",
  acknowledgement = ack-nhfb,
  bibno =        "42536",
  catcode =      "I.2.6; G.1.0; G.1.2; C.1.2",
  CRclass =      "I.2.6 Learning; I.2.6 Analogies; G.1.0 General; G.1.0
                 Parallel algorithms; G.1.2 Approximation; G.1.2
                 Elementary function approximation; C.1.2 Multiple Data
                 Stream Architectures (Multiprocessors); C.1.2 Parallel
                 processors",
  descriptor =   "Computing Methodologies, ARTIFICIAL INTELLIGENCE,
                 Learning, Analogies; Mathematics of Computing,
                 NUMERICAL ANALYSIS, General, Parallel algorithms;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Computer Systems Organization, PROCESSOR ARCHITECTURES,
                 Multiple Data Stream Architectures (Multiprocessors),
                 Parallel processors",
  genterm =      "algorithms; performance; experimentation",
  guideno =      "1988-16888",
  procdate =     "Sponsored by Amer. Assoc. for AI, Naval Res. Lab. and
                 Bolt Beranek & Newman, July 28-31, 1987",
  procloc =      "Cambridge, MA",
  subject =      "I. Computing Methodologies; I.2 ARTIFICIAL
                 INTELLIGENCE; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; C. Computer Systems Organization;
                 C.1 PROCESSOR ARCHITECTURES",
}


bibtype: article
filename: elefunt.bib
label: Thompson:1987:IEF
author: Peter Thompson
title: Implementing an Elementary Function Library
journal: j-SIGNUM
volume: 22
number: 2
pages: 2--5
month: apr
monthnumber: 4
year: 1987
CODEN: SNEWD6
ISSN: 0163-5778 (print), 1558-0237 (electronic) OR 01635778 (print), 15580237 (electronic)
ISSNL: 0163-5778 OR 01635778
bibdate: Fri Nov 8 18:01:57 MST 2002
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM SIGNUM Newsletter
subject: G. Mathematics of Computing; G.m MISCELLANEOUS; D. Software; D.3 PROGRAMMING LANGUAGES
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/signum
rawauthor: Peter Thompson
rawtitle: Implementing an Elementary Function Library
bibsource:
ACM Computing Archive CD-ROM database (1991); garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Thompson:1987:IEF,
  author =       "Peter Thompson",
  title =        "Implementing an Elementary Function Library",
  journal =      j-SIGNUM,
  volume =       "22",
  number =       "2",
  pages =        "2--5",
  month =        apr,
  year =         "1987",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb # " and " # ack-nj,
  bibno =        "24937",
  catcode =      "G.m; D.3.2",
  CRclass =      "D.3.2 Language Classifications; D.3.2 OCCAM",
  descriptor =   "Mathematics of Computing, MISCELLANEOUS; Software,
                 PROGRAMMING LANGUAGES, Language Classifications,
                 OCCAM",
  fjournal =     "ACM SIGNUM Newsletter",
  genterm =      "theory; languages",
  guideno =      "1987-03363",
  journal-URL =  "https://dl.acm.org/loi/signum",
  journalabbrev = "SIGNUM Newsl.",
  jrldate =      "April 1987",
  subject =      "G. Mathematics of Computing; G.m MISCELLANEOUS; D.
                 Software; D.3 PROGRAMMING LANGUAGES",
}


bibtype: article
filename: elefunt.bib
label: Thompson:1987:MBF
author: I. J. Thompson and A. R. Barnett
journal: j-COMP-PHYS-COMM
volume: 47
number: 2--3
pages: 245--257
month: nov
monthnumber: 11
year: 1987
CODEN: CPHCBZ
DOI: https://doi.org/10.1016/0010-4655(87)90111-1
ISSN: 0010-4655 (print), 1879-2944 (electronic) OR 00104655 (print), 18792944 (electronic)
ISSNL: 0010-4655 OR 00104655
bibdate: Mon Feb 13 10:28:21 MST 2012
bibtimestamp: 2012.02.13 10:28:21 MST
note: See erratum cite Thompson:2004:EBB.
URL: http://www.sciencedirect.com/science/article/pii/0010465587901111
fjournal: Computer Physics Communications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00104655
rawauthor: I. J. Thompson and A. R. Barnett
rawnote: See erratum \cite{Thompson:2004:EBB}.
title:
Modified Bessel functions $ I_nu (z) $ and $ K_nu (z) $ of real order and complex argument, to selected accuracy

bibsource:
https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib; https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

rawtitle:
Modified {Bessel} functions {$ I_\nu (z) $} and {$ K_\nu (z) $} of real order and complex argument, to selected accuracy

entry:
@Article{Thompson:1987:MBF,
  author =       "I. J. Thompson and A. R. Barnett",
  title =        "Modified {Bessel} functions {$ I_\nu (z) $} and {$
                 K_\nu (z) $} of real order and complex argument, to
                 selected accuracy",
  journal =      j-COMP-PHYS-COMM,
  volume =       "47",
  number =       "2--3",
  pages =        "245--257",
  month =        nov # "\slash " # dec,
  year =         "1987",
  CODEN =        "CPHCBZ",
  DOI =          "https://doi.org/10.1016/0010-4655(87)90111-1",
  ISSN =         "0010-4655 (print), 1879-2944 (electronic)",
  ISSN-L =       "0010-4655",
  bibdate =      "Mon Feb 13 10:28:21 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/compphyscomm2000.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "See erratum \cite{Thompson:2004:EBB}.",
  URL =          "http://www.sciencedirect.com/science/article/pii/0010465587901111",
  acknowledgement = ack-nhfb,
  fjournal =     "Computer Physics Communications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00104655",
}


bibtype: article
filename: elefunt.bib
label: Timan:1987:DFP
author: A. F. Timan
journal: j-J-APPROX-THEORY
volume: 50
number: 2
pages: 167--174
month: jun
monthnumber: 6
year: 1987
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: A. F. Timan
title:
Distribution of fractional parts and approximation of functions with singularities by Bernstein polynomials

rawtitle:
Distribution of fractional parts and approximation of functions with singularities by {Bernstein} polynomials

entry:
@Article{Timan:1987:DFP,
  author =       "A. F. Timan",
  title =        "Distribution of fractional parts and approximation of
                 functions with singularities by {Bernstein}
                 polynomials",
  journal =      j-J-APPROX-THEORY,
  volume =       "50",
  number =       "2",
  pages =        "167--174",
  month =        jun,
  year =         "1987",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "30725",
  catcode =      "G.1.5; G.1.2",
  CRclass =      "G.1.5 Roots of Nonlinear Equations; G.1.5 Polynomials,
                 methods for; G.1.2 Approximation; G.1.2 Elementary
                 function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations, Polynomials, methods for;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1987-09244",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Visentin:1987:FAE
author: Kley Visentin and Pablo Martin
title: Fractional approximation to elliptic functions
journal: j-J-MATH-PHYS
volume: 28
number: 2
pages: 330--333
month: feb
monthnumber: 2
year: 1987
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.527661
ISSNL: 0022-2488 OR 00222488
MRclass: 41A10 (33A65)
MRnumber: 87m:41009
bibdate: Mon Oct 31 11:57:55 MDT 2011
bibtimestamp: 2011.10.31 11:57:55 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v28/i2/p330_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: Kley Visentin and Pablo Mart{\'\i}n
rawtitle: Fractional approximation to elliptic functions
entry:
@Article{Visentin:1987:FAE,
  author =       "Kley Visentin and Pablo Mart{\'\i}n",
  title =        "Fractional approximation to elliptic functions",
  journal =      j-J-MATH-PHYS,
  volume =       "28",
  number =       "2",
  pages =        "330--333",
  month =        feb,
  year =         "1987",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.527661",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "41A10 (33A65)",
  MRnumber =     "87m:41009",
  bibdate =      "Mon Oct 31 11:57:55 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v28/i2/p330_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "4",
}


bibtype: article
filename: elefunt.bib
label: Zurawski:1987:DHS
author: J. H. P. Zurawski and J. B. Gosling
title: Design of a High-Speed Square Root Multiply and Divide Unit
journal: j-IEEE-TRANS-COMPUT
volume: C-36
number: 1
pages: 13--23
month: jan
monthnumber: 1
year: 1987
CODEN: ITCOB4
DOI: https://doi.org/10.1109/TC.1987.5009445
ISSN: 0018-9340 (print), 1557-9956 (electronic) OR 00189340 (print), 15579956 (electronic)
ISSNL: 0018-9340 OR 00189340
bibdate: Sat Jul 9 09:28:49 MDT 2011
bibtimestamp: 2011.07.09 09:28:49 MDT
URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009445
fjournal: IEEE Transactions on Computers
acknowledgement: ack-nhfb
journalURL: http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12
rawauthor: J. H. P. Zurawski and J. B. Gosling
rawtitle: Design of a High-Speed Square Root Multiply and Divide Unit
bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib; https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib

entry:
@Article{Zurawski:1987:DHS,
  author =       "J. H. P. Zurawski and J. B. Gosling",
  title =        "Design of a High-Speed Square Root Multiply and Divide
                 Unit",
  journal =      j-IEEE-TRANS-COMPUT,
  volume =       "C-36",
  number =       "1",
  pages =        "13--23",
  month =        jan,
  year =         "1987",
  CODEN =        "ITCOB4",
  DOI =          "https://doi.org/10.1109/TC.1987.5009445",
  ISSN =         "0018-9340 (print), 1557-9956 (electronic)",
  ISSN-L =       "0018-9340",
  bibdate =      "Sat Jul 9 09:28:49 MDT 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib;
                 https://www.math.utah.edu/pub/tex/bib/ieeetranscomput1980.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5009445",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Computers",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=12",
}


bibtype: article
filename: elefunt.bib
label: Zwick:1987:BAC
author: D. Zwick
title: Best approximation by convex functions
journal: j-AMER-MATH-MONTHLY
volume: 94
number: 6
pages: 528--534
month: jul
monthnumber: 7
year: 1987
CODEN: AMMYAE
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: American Mathematical Monthly
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
affiliation: University of Vermont, Vermont, NY
journalURL: https://www.jstor.org/journals/00029890.htm
rawauthor: D. Zwick
rawtitle: Best approximation by convex functions
entry:
@Article{Zwick:1987:BAC,
  author =       "D. Zwick",
  title =        "Best approximation by convex functions",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "94",
  number =       "6",
  pages =        "528--534",
  month =        jul,
  year =         "1987",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "University of Vermont, Vermont, NY",
  bibno =        "43727",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "American Mathematical Monthly",
  genterm =      "theory; verification",
  guideno =      "1988-04405",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  journalabbrev = "Am. Math. Monthly",
  jrldate =      "June/July 1987",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Aberth:1988:PNA
author: Oliver Aberth
title: Precise Numerical Analysis
publisher: pub-WCB
address: pub-WCB:adr
pages: x + 225
year: 1988
ISBN: 0-697-06760-2 OR 0697067602
ISBN13: 978-0-697-06760-9 OR 9780697067609
LCCN: QA297 .A28 1988
bibdate: Mon Oct 24 11:37:20 2011
bibsource: file://sunrise/u/sy/beebe/tex/bib/all_brec.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.10.24 11:37:20 ???
acknowledgement: ack-nj
rawauthor: Oliver Aberth
rawtitle: Precise Numerical Analysis
abstract:
Aberth addresses elementary issues of precise floating point computations using variable precision range arithmetic. Numbers are represented as a variable precision number $ pm $ a range. Rational arithmetic is also considered. Chapters are devoted to begin enumerate item rootfinding, item polynomial rootfinding, item numerical linear algebra, item differentiation and integration, and item ordinary differential equations.end enumerate Differentiation is handled by a codelist approach like [Rall81a], and applications to Taylor series are given. Interval techniques for ordinary differential equations are based on using an it a priori bound to capture remainder terms. Several methods are illustrated, including Taylor series methods.

keywords:
differentiation; differentiation arithmetic; general numerical analysis; integration; interval techniques; linear algebra; ordinary differential equations.; variable precision arithmetic

rawabstract:
Aberth addresses elementary issues of precise floating point computations using variable precision range arithmetic. Numbers are represented as a variable precision number $ \pm $ a range. Rational arithmetic is also considered. Chapters are devoted to \begin{enumerate} \item rootfinding, \item polynomial rootfinding, \item numerical linear algebra, \item differentiation and integration, and \item ordinary differential equations.\end{enumerate} Differentiation is handled by a codelist approach like [Rall81a], and applications to Taylor series are given. Interval techniques for ordinary differential equations are based on using an {\it a priori\/} bound to capture remainder terms. Several methods are illustrated, including Taylor series methods.

entry:
@Book{Aberth:1988:PNA,
  author =       "Oliver Aberth",
  title =        "Precise Numerical Analysis",
  publisher =    pub-WCB,
  address =      pub-WCB:adr,
  pages =        "x + 225",
  year =         "1988",
  ISBN =         "0-697-06760-2",
  ISBN-13 =      "978-0-697-06760-9",
  LCCN =         "QA297 .A28 1988",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "file://sunrise/u/sy/beebe/tex/bib/all_brec.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "Aberth addresses elementary issues of precise floating
                 point computations using variable precision range
                 arithmetic. Numbers are represented as a variable
                 precision number $ \pm $ a range. Rational arithmetic
                 is also considered. Chapters are devoted to
                 \begin{enumerate} \item rootfinding, \item polynomial
                 rootfinding, \item numerical linear algebra, \item
                 differentiation and integration, and \item ordinary
                 differential equations.\end{enumerate} Differentiation
                 is handled by a codelist approach like [Rall81a], and
                 applications to Taylor series are given. Interval
                 techniques for ordinary differential equations are
                 based on using an {\it a priori\/} bound to capture
                 remainder terms. Several methods are illustrated,
                 including Taylor series methods.",
  acknowledgement = ack-nj,
  comment =      "Text for a one semester, junior level course in
                 numerical analysis. Includes PC disk with software
                 written in PBASIC. Sound introductory level discussion
                 of code lists and error capture techniques.",
  keywords =     "differentiation; differentiation arithmetic; general
                 numerical analysis; integration; interval techniques;
                 linear algebra; ordinary differential equations.;
                 variable precision arithmetic",
}


bibtype: article
filename: elefunt.bib
label: Alonso:1988:SCN
author: Javier Alonso and Carlos Benitez
title: Some characteristic and non-characteristic properties of inner product spaces
journal: j-J-APPROX-THEORY
volume: 55
number: 3
pages: 318--325
month: dec
monthnumber: 12
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Javier Alonso and Carlos Benitez
rawtitle: Some characteristic and non-characteristic properties of inner product spaces
entry:
@Article{Alonso:1988:SCN,
  author =       "Javier Alonso and Carlos Benitez",
  title =        "Some characteristic and non-characteristic properties
                 of inner product spaces",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "318--325",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56052",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "theory; verification",
  guideno =      "1988-10198",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Bailey:1988:CDD
author: David H. Bailey
journal: j-MATH-COMPUT
volume: 50
number: 181
pages: 283--296
month: jan
monthnumber: 1
year: 1988
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 11Y60 (11-04 11K16 65-04)
MRnumber: 88m:11114
MRreviewer: A. J. van der Poorten
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: NASA Ames Res. Centre, Moffet Field, CA, USA
journalURL: http://www.ams.org/mcom/
treatment: X Experimental
rawauthor: David H. Bailey
title:
The computation of $ pi $ to $ 29, 360, 000 $ decimal digits using Borweins' quartically convergent algorithm

keywords:
Borwein quartically convergent algorithm; computation of pi; computer testing; Cray 2 computer test; decimal expansion; elliptic integrals; iterative methods; mathematics computing; multiprecision arithmetic; number theory; prime modulus; series (mathematics); statistical analyses; statistical analysis; transform

classcodes:
C1140Z (Other and miscellaneous); C1160 (Combinatorial mathematics); C4130 (Interpolation and function approximation); C5470 (Performance evaluation and testing); C7310 (Mathematics)

rawtitle:
The computation of $ \pi $ to $ 29, 360, 000 $ decimal digits using {Borweins}' quartically convergent algorithm

entry:
@Article{Bailey:1988:CDD,
  author =       "David H. Bailey",
  title =        "The computation of $ \pi $ to $ 29, 360, 000 $ decimal
                 digits using {Borweins}' quartically convergent
                 algorithm",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "181",
  pages =        "283--296",
  month =        jan,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11Y60 (11-04 11K16 65-04)",
  MRnumber =     "88m:11114",
  MRreviewer =   "A. J. van der Poorten",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C1140Z (Other and miscellaneous); C1160 (Combinatorial
                 mathematics); C4130 (Interpolation and function
                 approximation); C5470 (Performance evaluation and
                 testing); C7310 (Mathematics)",
  corpsource =   "NASA Ames Res. Centre, Moffet Field, CA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Borwein quartically convergent algorithm; computation
                 of pi; computer testing; Cray 2 computer test; decimal
                 expansion; elliptic integrals; iterative methods;
                 mathematics computing; multiprecision arithmetic;
                 number theory; prime modulus; series (mathematics);
                 statistical analyses; statistical analysis; transform",
  treatment =    "X Experimental",
}


bibtype: article
filename: elefunt.bib
label: Bloom:1988:LCL
author: Thomas Bloom
title: The Lebesgue constant for Lagrange interpolation in the simplex
journal: j-J-APPROX-THEORY
volume: 54
number: 3
pages: 338--353
month: sep
monthnumber: 9
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Thomas Bloom
rawtitle: The {Lebesgue} constant for {Lagrange} interpolation in the simplex
entry:
@Article{Bloom:1988:LCL,
  author =       "Thomas Bloom",
  title =        "The {Lebesgue} constant for {Lagrange} interpolation
                 in the simplex",
  journal =      j-J-APPROX-THEORY,
  volume =       "54",
  number =       "3",
  pages =        "338--353",
  month =        sep,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56887",
  catcode =      "G.1.1; G.1.2; G.1.2; G.1.7; G.1.7",
  CRclass =      "G.1.1 Interpolation; G.1.1 Interpolation formulas;
                 G.1.2 Approximation; G.1.2 Minimax approximation and
                 algorithms; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; G.1.7 Ordinary Differential
                 Equations; G.1.7 Convergence and stability; G.1.7
                 Ordinary Differential Equations; G.1.7 Boundary value
                 problems",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Interpolation formulas; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Convergence
                 and stability; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Boundary
                 value problems",
  fjournal =     "Journal of Approximation Theory",
  guideno =      "1988-10170",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Sept. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1988:CFF
author: J. M. Borwein and P. B. Borwein
title: On the Complexity of Familiar Functions and Numbers
journal: j-SIAM-REVIEW
volume: 30
number: 4
pages: 589--601
month: dec
monthnumber: 12
year: 1988
CODEN: SIREAD
DOI: https://doi.org/10.1137/1030134
ISSN: 0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)
ISSNL: 0036-1445 OR 00361445
MRclass: 68Q25 (03D15 11Y16)
MRnumber: 967961; 89k:68061
MRreviewer: Klaus W. Wagner
bibdate: Sat Mar 29 09:54:29 MDT 2014
bibtimestamp: 2014.03.29 09:54:29 MDT
fjournal: SIAM Review
acknowledgement: ack-nhfb
affiliationaddress: Halifax, NS, Can
journalURL: http://epubs.siam.org/sirev
journalabr: SIAM Rev
onlinedate: December 1988
rawauthor: J. M. Borwein and P. B. Borwein
rawtitle: On the Complexity of Familiar Functions and Numbers
bibsource:
ACM Computing Archive CD-ROM database (1991); Compendex database; http://epubs.siam.org/toc/siread/30/4; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/siamreview.bib

abstract:
This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that it is possible to base a taxonomy of such functions and numbers on their computational complexity. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious. For most functions, provably optimal methods are not known; however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.

keywords:
Algebraic Approximation; Approximation Theory; Computation of Digits; Familiar Functions; Low Complexity Approximation; Mathematical Techniques; Rational Approximation; Reduced Complexity Approximation

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES

rawabstract:
This paper examines low-complexity approximations to familiar functions and numbers. The intent is to suggest that it is possible to base a taxonomy of such functions and numbers on their computational complexity. A central theme is that traditional methods of approximation are often very far from optimal, while good or optimal methods are often very far from obvious. For most functions, provably optimal methods are not known; however the gap between what is known and what is possible is often small. A considerable number of open problems are posed and a number of related examples are presented.

entry:
@Article{Borwein:1988:CFF,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Complexity of Familiar Functions and Numbers",
  journal =      j-SIAM-REVIEW,
  volume =       "30",
  number =       "4",
  pages =        "589--601",
  month =        dec,
  year =         "1988",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1030134",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "68Q25 (03D15 11Y16)",
  MRnumber =     "967961; 89k:68061",
  MRreviewer =   "Klaus W. Wagner",
  bibdate =      "Sat Mar 29 09:54:29 MDT 2014",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 Compendex database;
                 http://epubs.siam.org/toc/siread/30/4;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  abstract =     "This paper examines low-complexity approximations to
                 familiar functions and numbers. The intent is to
                 suggest that it is possible to base a taxonomy of such
                 functions and numbers on their computational
                 complexity. A central theme is that traditional methods
                 of approximation are often very far from optimal, while
                 good or optimal methods are often very far from
                 obvious. For most functions, provably optimal methods
                 are not known; however the gap between what is known
                 and what is possible is often small. A considerable
                 number of open problems are posed and a number of
                 related examples are presented.",
  acknowledgement = ack-nhfb,
  affiliationaddress = "Halifax, NS, Can",
  bibno =        "58008",
  catcode =      "G.1.2; F.2.1; F.1.3",
  classification = "921",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; F.2.1 Numerical Algorithms and Problems;
                 F.1.3 Complexity Classes",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems;
                 Theory of Computation, COMPUTATION BY ABSTRACT DEVICES,
                 Complexity Classes",
  fjournal =     "SIAM Review",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13907",
  journal-URL =  "http://epubs.siam.org/sirev",
  journalabbrev = "SIAM Rev.",
  journalabr =   "SIAM Rev",
  jrldate =      "Dec. 1988",
  keywords =     "Algebraic Approximation; Approximation Theory;
                 Computation of Digits; Familiar Functions; Low
                 Complexity Approximation; Mathematical Techniques;
                 Rational Approximation; Reduced Complexity
                 Approximation",
  onlinedate =   "December 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1
                 COMPUTATION BY ABSTRACT DEVICES",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1988:PAE
author: Peter B. Borwein
title: Pade approximants for the $q$-elementary functions
journal: j-CONST-APPROX
volume: 4
number: 4
pages: 391--402
year: 1988
ISSN: 0176-4276 (print), 1432-0940 (electronic) OR 01764276 (print), 14320940 (electronic)
ISSNL: 0176-4276 OR 01764276
MRclass: 41A21 (33A10 41A20)
MRnumber: 89f:41022
MRreviewer: Annie A. M. Cuyt
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
fjournal: Constructive Approximation
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/journal/365
rawauthor: Peter B. Borwein
rawtitle: {Pad{\'e}} approximants for the $q$-elementary functions
entry:
@Article{Borwein:1988:PAE,
  author =       "Peter B. Borwein",
  title =        "{Pad{\'e}} approximants for the $q$-elementary
                 functions",
  journal =      j-CONST-APPROX,
  volume =       "4",
  number =       "4",
  pages =        "391--402",
  year =         "1988",
  ISSN =         "0176-4276 (print), 1432-0940 (electronic)",
  ISSN-L =       "0176-4276",
  MRclass =      "41A21 (33A10 41A20)",
  MRnumber =     "89f:41022",
  MRreviewer =   "Annie A. M. Cuyt",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Constructive Approximation",
  journal-URL =  "http://link.springer.com/journal/365",
}


bibtype: incollection
filename: elefunt.bib
label: Brezinski:1988:NAC
author: Claude Brezinski
booktitle: Nonlinear numerical methods and rational approximation (Wilrijk, 1987)
title: A new approach to convergence acceleration methods
volume: 43
publisher: Reidel
address: Dordrecht
pages: 373--405
year: 1988
MRclass: 65Bxx (40A25)
MRnumber: 1005369 (90m:65010)
MRreviewer: John P. Coleman
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 17:36:45 ???
series: Math. Appl.
keywords: convergence acceleration
acknowledgement: ack-nhfb
rawauthor: Claude Brezinski
rawbooktitle: {Nonlinear numerical methods and rational approximation (Wilrijk, 1987)}
rawtitle: A new approach to convergence acceleration methods
entry:
@InCollection{Brezinski:1988:NAC,
  author =       "Claude Brezinski",
  booktitle =    "{Nonlinear numerical methods and rational
                 approximation (Wilrijk, 1987)}",
  title =        "A new approach to convergence acceleration methods",
  volume =       "43",
  publisher =    "Reidel",
  address =      "Dordrecht",
  pages =        "373--405",
  year =         "1988",
  MRclass =      "65Bxx (40A25)",
  MRnumber =     "1005369 (90m:65010)",
  MRreviewer =   "John P. Coleman",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Carlson:1988:TEI
author: B. C. Carlson
title: A Table of Elliptic Integrals of the Third Kind
journal: j-MATH-COMPUT
volume: 51
number: 183
pages: 267--280, S1--S5
month: jul
monthnumber: 7
year: 1988
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 33A25 (65A05)
MRnumber: 89k:33003
MRreviewer: F. W. J. Olver
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Iowa State Univ., Ames, IA, USA
journalURL: http://www.ams.org/mcom/
treatment: P Practical; T Theoretical or Mathematical
rawauthor: B. C. Carlson
rawtitle: A Table of Elliptic Integrals of the Third Kind
keywords:
Cauchy principal values; elliptic integrals; FORTRAN listings; function evaluation; integral equations; integration; points; real singular; recurrence relations; standard R-functions

classcodes:
B0290R (Integral equations); B0220 (Analysis); B0290D (Functional analysis); B0290M (Numerical integration and differentiation); C4180 (Integral equations); C1120 (Analysis); C4120 (Functional analysis); C4160 (Numerical integration and differentiation)

entry:
@Article{Carlson:1988:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals of the Third Kind",
  journal =      j-MATH-COMPUT,
  volume =       "51",
  number =       "183",
  pages =        "267--280, S1--S5",
  month =        jul,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "33A25 (65A05)",
  MRnumber =     "89k:33003",
  MRreviewer =   "F. W. J. Olver",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290R (Integral equations); B0220 (Analysis); B0290D
                 (Functional analysis); B0290M (Numerical integration
                 and differentiation); C4180 (Integral equations); C1120
                 (Analysis); C4120 (Functional analysis); C4160
                 (Numerical integration and differentiation)",
  corpsource =   "Iowa State Univ., Ames, IA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "Cauchy principal values; elliptic integrals; FORTRAN
                 listings; function evaluation; integral equations;
                 integration; points; real singular; recurrence
                 relations; standard R-functions",
  treatment =    "P Practical; T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Cartwright:1988:JTC
author: Donald I. Cartwright and Krzysztof Kucharski
title: Jackson's Theorem for compact connect Lie groups
journal: j-J-APPROX-THEORY
volume: 55
number: 3
pages: 352--359
month: dec
monthnumber: 12
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Donald I. Cartwright and Krzysztof Kucharski
rawtitle: {Jackson's Theorem} for compact connect {Lie} groups
subject:
G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Cartwright:1988:JTC,
  author =       "Donald I. Cartwright and Krzysztof Kucharski",
  title =        "{Jackson's Theorem} for compact connect {Lie} groups",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "352--359",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56056",
  catcode =      "G.2.m; G.1.2",
  CRclass =      "G.2.m Miscellaneous; G.1.2 Approximation; G.1.2
                 Elementary function approximation",
  descriptor =   "Mathematics of Computing, DISCRETE MATHEMATICS,
                 Miscellaneous; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "verification; theory",
  guideno =      "1988-10202",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Chellali:1988:ACN
author: Mustapha Chellali
journal: j-J-NUMBER-THEORY
volume: 28
number: 3
pages: 347--362
month: mar
monthnumber: 3
year: 1988
CODEN: JNUTA9
DOI: https://doi.org/10.1016/0022-314X(88)90047-9
ISSN: 0022-314X (print), 1096-1658 (electronic) OR 0022314X (print), 10961658 (electronic)
ISSNL: 0022-314X OR 0022314X
bibdate: Wed Jul 15 08:46:57 MDT 2020
bibtimestamp: 2020.07.15 08:46:57 MDT
URL: http://www.sciencedirect.com/science/article/pii/0022314X88900479
fjournal: Journal of Number Theory
language: French
acknowledgement: ack-nhfb
ajournal: J. Number Theory
journalURL: http://www.sciencedirect.com/science/journal/0022314X
rawauthor: Mustapha Chellali
title:
Acceleration de calcul de nombres de Bernoulli. (French) [Bernoulli number calculation acceleration]

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib

rawtitle:
Acc{\'e}l{\'e}ration de calcul de nombres de {Bernoulli}. ({French}) [{Bernoulli} number calculation acceleration]

entry:
@Article{Chellali:1988:ACN,
  author =       "Mustapha Chellali",
  title =        "Acc{\'e}l{\'e}ration de calcul de nombres de
                 {Bernoulli}. ({French}) [{Bernoulli} number calculation
                 acceleration]",
  journal =      j-J-NUMBER-THEORY,
  volume =       "28",
  number =       "3",
  pages =        "347--362",
  month =        mar,
  year =         "1988",
  CODEN =        "JNUTA9",
  DOI =          "https://doi.org/10.1016/0022-314X(88)90047-9",
  ISSN =         "0022-314X (print), 1096-1658 (electronic)",
  ISSN-L =       "0022-314X",
  bibdate =      "Wed Jul 15 08:46:57 MDT 2020",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jnumbertheory1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0022314X88900479",
  acknowledgement = ack-nhfb,
  ajournal =     "J. Number Theory",
  fjournal =     "Journal of Number Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0022314X",
  language =     "French",
}


bibtype: article
filename: elefunt.bib
label: Chiccoli:1988:EGE
author: C. Chiccoli and S. Lorenzutta and G. Maino
title: On the evaluation of generalized exponential integrals $ E_nu (x) $
journal: j-J-COMPUT-PHYS
volume: 78
number: 2
pages: 278--287
month: oct
monthnumber: 10
year: 1988
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(88)90050-2
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:42 MST 2012
bibtimestamp: 2012.01.01 15:59:42 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999188900502
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: C. Chiccoli and S. Lorenzutta and G. Maino
rawtitle: On the evaluation of generalized exponential integrals {$ E_\nu (x) $}
entry:
@Article{Chiccoli:1988:EGE,
  author =       "C. Chiccoli and S. Lorenzutta and G. Maino",
  title =        "On the evaluation of generalized exponential integrals
                 {$ E_\nu (x) $}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "78",
  number =       "2",
  pages =        "278--287",
  month =        oct,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(88)90050-2",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:42 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188900502",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Cover:1988:DII
author: Thomas M. Cover and Joy A. Thomas
title: Determinant inequalities via information theory
journal: j-SIAM-J-MAT-ANA-APPL
volume: 9
number: 3
pages: 384--392
month: jul
monthnumber: 7
year: 1988
CODEN: SJMAEL
ISSN: 0895-4798 (print), 1095-7162 (electronic) OR 08954798 (print), 10957162 (electronic)
ISSNL: 0895-4798 OR 08954798
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Matrix Analysis and Applications
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/simax
rawauthor: Thomas M. Cover and Joy A. Thomas
rawtitle: Determinant inequalities via information theory
subject:
H. Information Systems; H.1 MODELS AND PRINCIPLES; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Cover:1988:DII,
  author =       "Thomas M. Cover and Joy A. Thomas",
  title =        "Determinant inequalities via information theory",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "9",
  number =       "3",
  pages =        "384--392",
  month =        jul,
  year =         "1988",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58040",
  catcode =      "H.1.1; G.1.3; F.2.1; G.1.2",
  CRclass =      "H.1.1 Systems and Information Theory; H.1.1
                 Information theory; G.1.3 Numerical Linear Algebra;
                 G.1.3 Determinants; F.2.1 Numerical Algorithms and
                 Problems; F.2.1 Computations on matrices; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Information Systems, MODELS AND PRINCIPLES, Systems
                 and Information Theory, Information theory; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Determinants; Theory of Computation, ANALYSIS
                 OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
                 Algorithms and Problems, Computations on matrices;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13777",
  journal-URL =  "http://epubs.siam.org/simax",
  journalabbrev = "SIAM J. Matrix Anal. Appl.",
  jrldate =      "July 1988",
  subject =      "H. Information Systems; H.1 MODELS AND PRINCIPLES; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}


bibtype: inproceedings
filename: elefunt.bib
label: Davenport:1988:ICF
author: J. H. Davenport
editor: N. M. Stephens and M. P. Thorne
title: Integration in closed form
volume: 14
publisher: pub-CLARENDON
address: pub-CLARENDON:adr
pages: 384--392
year: 1988
ISBN: 0-19-853620-8 OR 0198536208
ISBN13: 978-0-19-853620-8 OR 9780198536208
LCCN: QA11.A1 C618 1986
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: Institute of Mathematics and its applications conference series, new series
acknowledgement: ack-nhfb
affiliation: Univ. of Bath
bookpages: 235
rawauthor: J. H. Davenport
raweditor: N. M. Stephens and M. P. Thorne
rawtitle: Integration in closed form
booktitle:
Computers in mathematical research: based on the proceedings of a conference organized by the Institute of Mathematics and its Applications on computers in mathematical research, held at University College, Cardiff in September 1986

subject:
J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; I. Computing Methodologies; I.2 ARTIFICIAL INTELLIGENCE; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

rawbooktitle:
Computers in mathematical research: based on the proceedings of a conference organized by the Institute of Mathematics and its Applications on computers in mathematical research, held at University College, Cardiff in September 1986

entry:
@InProceedings{Davenport:1988:ICF,
  author =       "J. H. Davenport",
  editor =       "N. M. Stephens and M. P. Thorne",
  booktitle =    "Computers in mathematical research: based on the
                 proceedings of a conference organized by the Institute
                 of Mathematics and its Applications on computers in
                 mathematical research, held at University College,
                 Cardiff in September 1986",
  title =        "Integration in closed form",
  volume =       "14",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  bookpages =    "235",
  year =         "1988",
  ISBN =         "0-19-853620-8",
  ISBN-13 =      "978-0-19-853620-8",
  LCCN =         "QA11.A1 C618 1986",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$57.50",
  series =       "Institute of Mathematics and its applications
                 conference series, new series",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Bath",
  bibno =        "52474",
  catcode =      "J.2; F.2.1; G.1.2; G.1.2; I.2.9; F.2.1",
  CRclass =      "J.2 Mathematics and statistics; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Number-theoretic
                 computations; G.1.2 Approximation; G.1.2 Rational
                 approximation; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; I.2.9 Robotics; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computations in finite
                 fields",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Mathematics and statistics; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Number-theoretic computations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Rational
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Computing Methodologies, ARTIFICIAL
                 INTELLIGENCE, Robotics; Theory of Computation, ANALYSIS
                 OF ALGORITHMS AND PROBLEM COMPLEXITY, Numerical
                 Algorithms and Problems, Computations in finite
                 fields",
  genterm =      "algorithms; theory",
  guideno =      "1988-16247",
  page =         "119--134",
  procdate =     "Sept. 1986",
  procloc =      "Cardiff, Wales",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; I. Computing
                 Methodologies; I.2 ARTIFICIAL INTELLIGENCE; F. Theory
                 of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY",
  waffil =       "Univ. College, Cardiff, Wales; Univ. College, Cardiff,
                 Wales",
}


bibtype: techreport
filename: elefunt.bib
label: DiDonato:1988:SDC
author: Armido I. DiDonato and Alfred H. Morris, Jr.
title: Significant Digit Computation of the Incomplete Beta Function Ratios
type: Technical Report
number: NSWC TR 88-365
institution: Naval Surface Warfare Center (K33)
address: Dahlgren, VA 22448-5000, USA
pages: 384--392
month: nov
monthnumber: 11
year: 1988
bibdate: Sat Nov 15 10:30:20 2014
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2014.11.15 10:30:20 ???
URL: http://www.dtic.mil/dtic/tr/fulltext/u2/a210118.pdf
keywords: bratio; continued fraction; expm1; gamma; incomplete gamma function; ln; log1p; r1mach; spmpar
acknowledgement: ack-nhfb
rawauthor: Armido I. DiDonato and Alfred H. {Morris, Jr.}
rawtitle: Significant Digit Computation of the Incomplete Beta Function Ratios
abstract:
An algorithm is given for evaluating the incomplete beta function ratio $ I_x(a, b) $ and its complement $ 1 - I_x(a, b) $. Two new procedures are used with classical results. A listing of a transportable Fortran subroutine using this algorithm is given. The subroutine is accurate to 14 significant digits when the precision is not restricted by inherent error.

rawabstract:
An algorithm is given for evaluating the incomplete beta function ratio $ I_x(a, b) $ and its complement $ 1 - I_x(a, b) $. Two new procedures are used with classical results. A listing of a transportable Fortran subroutine using this algorithm is given. The subroutine is accurate to 14 significant digits when the precision is not restricted by inherent error.

entry:
@TechReport{DiDonato:1988:SDC,
  author =       "Armido I. DiDonato and Alfred H. {Morris, Jr.}",
  title =        "Significant Digit Computation of the Incomplete Beta
                 Function Ratios",
  type =         "Technical Report",
  number =       "NSWC TR 88-365",
  institution =  "Naval Surface Warfare Center (K33)",
  address =      "Dahlgren, VA 22448-5000, USA",
  month =        nov,
  year =         "1988",
  bibdate =      "Sat Nov 15 10:30:20 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.dtic.mil/dtic/tr/fulltext/u2/a210118.pdf",
  abstract =     "An algorithm is given for evaluating the incomplete
                 beta function ratio $ I_x(a, b) $ and its complement $
                 1 - I_x(a, b) $. Two new procedures are used with
                 classical results. A listing of a transportable Fortran
                 subroutine using this algorithm is given. The
                 subroutine is accurate to 14 significant digits when
                 the precision is not restricted by inherent error.",
  acknowledgement = ack-nhfb,
  keywords =     "bratio; continued fraction; expm1; gamma; incomplete
                 gamma function; ln; log1p; r1mach; spmpar",
}


bibtype: article
filename: elefunt.bib
label: Dunham:1988:PMA
author: Charles B. Dunham
title: Provably monotone approximations, III
journal: j-SIGNUM
volume: 23
number: 1
pages: 10--10
month: jan
monthnumber: 1
year: 1988
CODEN: SNEWD6
DOI: https://doi.org/10.1145/43931.43934
ISSN: 0163-5778 (print), 1558-0237 (electronic) OR 01635778 (print), 15580237 (electronic)
ISSNL: 0163-5778 OR 01635778
bibdate: Tue Apr 12 07:50:16 MDT 2005
bibsource: http://portal.acm.org/; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2005.04.12 07:50:16 MDT
fjournal: ACM SIGNUM Newsletter
keywords: theory
subject: G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS, Approximation
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/signum
rawauthor: Charles B. Dunham
rawtitle: Provably monotone approximations, {III}
entry:
@Article{Dunham:1988:PMA,
  author =       "Charles B. Dunham",
  title =        "Provably monotone approximations, {III}",
  journal =      j-SIGNUM,
  volume =       "23",
  number =       "1",
  pages =        "10--10",
  month =        jan,
  year =         "1988",
  CODEN =        "SNEWD6",
  DOI =          "https://doi.org/10.1145/43931.43934",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Tue Apr 12 07:50:16 MDT 2005",
  bibsource =    "http://portal.acm.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "https://dl.acm.org/loi/signum",
  keywords =     "theory",
  subject =      "G.1.2 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation",
}


bibtype: techreport
filename: elefunt.bib
label: Duprat:1988:EPE
author: J. Duprat and J. M. Muller
title: Evaluation of Polynomials and elementary Functions by integrated Circuits
number: RR698-I
institution: IMAG
address: Grenoble, France
pages: 10--10
month: jan
monthnumber: 1
year: 1988
bibdate: Mon Oct 24 11:37:20 2011
bibtimestamp: 2011.10.24 11:37:20 ???
acknowledgement: ack-nhfb
rawauthor: J. Duprat and J. M. Muller
rawtitle: Evaluation of Polynomials and elementary Functions by integrated Circuits
bibsource:
ftp://ftp.ira.uka.de/pub/bibliography/Theory/eureca.bib.gz; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@TechReport{Duprat:1988:EPE,
  author =       "J. Duprat and J. M. Muller",
  title =        "Evaluation of Polynomials and elementary Functions by
                 integrated Circuits",
  number =       "RR698-I",
  institution =  "IMAG",
  address =      "Grenoble, France",
  month =        jan,
  year =         "1988",
  bibdate =      "Mon Oct 24 11:37:20 2011",
  bibsource =    "ftp://ftp.ira.uka.de/pub/bibliography/Theory/eureca.bib.gz;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Duprat:1988:HPE
author: Jean Duprat and Jean-Michel Muller
title: Hardwired polynomial evaluation
journal: j-J-PAR-DIST-COMP
volume: 5
number: 3
pages: 291--309
month: jun
monthnumber: 6
year: 1988
CODEN: JPDCER
ISSN: 0743-7315 (print), 1096-0848 (electronic) OR 07437315 (print), 10960848 (electronic)
ISSNL: 0743-7315 OR 07437315
bibdate: Sat Apr 12 19:06:31 MDT 1997
bibsource: Compendex database; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.04.12 19:06:31 MDT
fjournal: Journal of Parallel and Distributed Computing
acknowledgement: ack-nhfb
affiliationaddress: CNRS, Grenoble, Fr
corpsource: Inst. Nat. Polytech. de Grenoble, France
journalURL: http://www.sciencedirect.com/science/journal/07437315
journalabr: J Parallel Distrib Comput
treatment: P Practical
rawauthor: Jean Duprat and Jean-Michel Muller
rawtitle: Hardwired polynomial evaluation
keywords:
computer architecture; computers, digital --- Circuits; digital arithmetic; elementary functions; hardwired polynomial evaluation; mathematical functions; mathematical techniques; Polynomials; polynomials; special-purpose circuits; VLSI implementation

entry:
@Article{Duprat:1988:HPE,
  author =       "Jean Duprat and Jean-Michel Muller",
  title =        "Hardwired polynomial evaluation",
  journal =      j-J-PAR-DIST-COMP,
  volume =       "5",
  number =       "3",
  pages =        "291--309",
  month =        jun,
  year =         "1988",
  CODEN =        "JPDCER",
  ISSN =         "0743-7315 (print), 1096-0848 (electronic)",
  ISSN-L =       "0743-7315",
  bibdate =      "Sat Apr 12 19:06:31 MDT 1997",
  bibsource =    "Compendex database;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliationaddress = "CNRS, Grenoble, Fr",
  classification = "721; 722; 723; 921; C4130 (Interpolation and
                 function approximation); C5230 (Digital arithmetic
                 methods)",
  corpsource =   "Inst. Nat. Polytech. de Grenoble, France",
  fjournal =     "Journal of Parallel and Distributed Computing",
  journal-URL =  "http://www.sciencedirect.com/science/journal/07437315",
  journalabr =   "J Parallel Distrib Comput",
  keywords =     "computer architecture; computers, digital ---
                 Circuits; digital arithmetic; elementary functions;
                 hardwired polynomial evaluation; mathematical
                 functions; mathematical techniques; Polynomials;
                 polynomials; special-purpose circuits; VLSI
                 implementation",
  treatment =    "P Practical",
}


bibtype: article
filename: elefunt.bib
label: Feng:1988:AIN
author: Y. Y. Feng and J. Kozak
title: An approach to the interpolation of nonuniformly spaced data
journal: j-J-COMPUT-APPL-MATH
volume: 23
number: 2
pages: 169--178
month: aug
monthnumber: 8
year: 1988
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Computational and Applied Mathematics
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Y. Y. Feng and J. Kozak
rawtitle: An approach to the interpolation of nonuniformly spaced data
entry:
@Article{Feng:1988:AIN,
  author =       "Y. Y. Feng and J. Kozak",
  title =        "An approach to the interpolation of nonuniformly
                 spaced data",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "23",
  number =       "2",
  pages =        "169--178",
  month =        aug,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56475",
  catcode =      "G.1.1; G.1.2; G.1.7; G.1.1; G.1.4",
  CRclass =      "G.1.1 Interpolation; G.1.1 Spline and piecewise
                 polynomial interpolation; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.7 Ordinary
                 Differential Equations; G.1.7 Boundary value problems;
                 G.1.1 Interpolation; G.1.1 Smoothing; G.1.4 Quadrature
                 and Numerical Differentiation; G.1.4 Error analysis",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Spline and piecewise polynomial
                 interpolation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Ordinary Differential Equations, Boundary
                 value problems; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Interpolation, Smoothing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
                 Differentiation, Error analysis",
  fjournal =     "Journal of Computational and Applied Mathematics",
  genterm =      "algorithms; theory",
  guideno =      "1988-10490",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  journalabbrev = "J. Comput. Appl. Math.",
  jrldate =      "August 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Gawronski:1988:ZLT
author: Wolfgang Gawronski and Ulrich Stadtmuller
title: On the zeros of Lerch's transcendental function of real parameters
journal: j-J-APPROX-THEORY
volume: 53
number: 3
pages: 354--364
month: jun
monthnumber: 6
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
affiliation: Univ. of Trier, Trier, FRG; Univ. of Ulm, Ulm, FRG
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Wolfgang Gawronski and Ulrich Stadtm{\"u}ller
rawtitle: On the zeros of {Lerch}'s transcendental function of real parameters
entry:
@Article{Gawronski:1988:ZLT,
  author =       "Wolfgang Gawronski and Ulrich Stadtm{\"u}ller",
  title =        "On the zeros of {Lerch}'s transcendental function of
                 real parameters",
  journal =      j-J-APPROX-THEORY,
  volume =       "53",
  number =       "3",
  pages =        "354--364",
  month =        jun,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Trier, Trier, FRG; Univ. of Ulm, Ulm, FRG",
  bibno =        "49727",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "verification; theory",
  guideno =      "1988-10146",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "June 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Gillman:1988:ARG
author: E. Gillman and H. R. Fiebig
journal: j-COMPUT-PHYS
volume: 2
number: 1
pages: 62--??
month: jan
monthnumber: 1
year: 1988
CODEN: CPHYE2
DOI: https://doi.org/10.1063/1.168296
ISSN: 0894-1866 (print), 1558-4208 (electronic) OR 08941866 (print), 15584208 (electronic)
ISSNL: 0894-1866 OR 08941866
bibdate: Wed Apr 10 08:45:10 MDT 2019
bibtimestamp: 2019.04.10 08:45:10 MDT
URL: https://aip.scitation.org/doi/10.1063/1.168296
fjournal: Computers in Physics
acknowledgement: ack-nhfb
ajournal: Comput. Phys
journalURL: https://aip.scitation.org/journal/cip
rawauthor: E. Gillman and H. R. Fiebig
title:
Accurate recursive generation of spherical Bessel and Neumann functions for a large range of indices

bibsource:
https://www.math.utah.edu/pub/tex/bib/computphys.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

rawtitle:
Accurate recursive generation of spherical {Bessel} and {Neumann} functions for a large range of indices

entry:
@Article{Gillman:1988:ARG,
  author =       "E. Gillman and H. R. Fiebig",
  title =        "Accurate recursive generation of spherical {Bessel}
                 and {Neumann} functions for a large range of indices",
  journal =      j-COMPUT-PHYS,
  volume =       "2",
  number =       "1",
  pages =        "62--??",
  month =        jan,
  year =         "1988",
  CODEN =        "CPHYE2",
  DOI =          "https://doi.org/10.1063/1.168296",
  ISSN =         "0894-1866 (print), 1558-4208 (electronic)",
  ISSN-L =       "0894-1866",
  bibdate =      "Wed Apr 10 08:45:10 MDT 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/computphys.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "https://aip.scitation.org/doi/10.1063/1.168296",
  acknowledgement = ack-nhfb,
  ajournal =     "Comput. Phys",
  fjournal =     "Computers in Physics",
  journal-URL =  "https://aip.scitation.org/journal/cip",
}


bibtype: article
filename: elefunt.bib
label: Guerrero:1988:HOT
author: Antonio L. Guerrero and Pablo Martin
journal: j-J-COMPUT-PHYS
volume: 77
number: 1
pages: 276--281
month: jul
monthnumber: 7
year: 1988
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(88)90168-4
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:41 MST 2012
bibtimestamp: 2012.01.01 15:59:41 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999188901684
fjournal: Journal of Computational Physics
remark: This work produces only 3D approximations.
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: Antonio L. Guerrero and Pablo Martin
title:
Higher order two-point quasi-fractional approximations to the Bessel functions $ J_0 (x) $ and $ J_1 (x) $

rawtitle:
Higher order two-point quasi-fractional approximations to the {Bessel} functions {$ J_0 (x) $} and {$ J_1 (x) $}

entry:
@Article{Guerrero:1988:HOT,
  author =       "Antonio L. Guerrero and Pablo Martin",
  title =        "Higher order two-point quasi-fractional approximations
                 to the {Bessel} functions {$ J_0 (x) $} and {$ J_1 (x)
                 $}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "77",
  number =       "1",
  pages =        "276--281",
  month =        jul,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(88)90168-4",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:41 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188901684",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
  remark =       "This work produces only 3D approximations.",
}


bibtype: article
filename: elefunt.bib
label: Hautot:1988:CAC
author: A. Hautot
title: Convergence acceleration of continued fractions of Poincare type
journal: j-APPL-NUM-MATH
volume: 4
number: 2--4
pages: 309--322
month: jun
monthnumber: 6
year: 1988
CODEN: ANMAEL
ISSN: 0168-9274 (print), 1873-5460 (electronic) OR 01689274 (print), 18735460 (electronic)
ISSNL: 0168-9274 OR 01689274
MRclass: 65B05 (40A15)
MRnumber: 90b:65005
MRreviewer: Gh. Adam
bibdate: Sat Feb 8 10:09:54 MST 1997
bibtimestamp: 1997.02.08 10:09:54 MST
fjournal: Applied Numerical Mathematics: Transactions of IMACS
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/01689274/
rawauthor: A. Hautot
rawtitle: Convergence acceleration of continued fractions of {Poincar{\'e}} type
bibsource:
https://www.math.utah.edu/pub/tex/bib/applnummath.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Hautot:1988:CAC,
  author =       "A. Hautot",
  title =        "Convergence acceleration of continued fractions of
                 {Poincar{\'e}} type",
  journal =      j-APPL-NUM-MATH,
  volume =       "4",
  number =       "2--4",
  pages =        "309--322",
  month =        jun,
  year =         "1988",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65B05 (40A15)",
  MRnumber =     "90b:65005",
  MRreviewer =   "Gh. Adam",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Heilmann:1988:SSM
author: Margareta Heilmann
title: $ L_p $-saturation of some modified Bernstein operators
journal: j-J-APPROX-THEORY
volume: 54
number: 3
pages: 260--273
month: sep
monthnumber: 9
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Margareta Heilmann
rawtitle: {$ L_p $}-saturation of some modified {Bernstein} operators
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Heilmann:1988:SSM,
  author =       "Margareta Heilmann",
  title =        "{$ L_p $}-saturation of some modified {Bernstein}
                 operators",
  journal =      j-J-APPROX-THEORY,
  volume =       "54",
  number =       "3",
  pages =        "260--273",
  month =        sep,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56880",
  catcode =      "G.1.2; G.1.9; G.1.7; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.9 Integral Equations; G.1.9
                 Integro-differential equations; G.1.7 Ordinary
                 Differential Equations; G.1.7 Boundary value problems;
                 G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Boundary value problems; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Convergence and stability",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory",
  guideno =      "1988-10163",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Sept. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Horwitz:1988:TPF
author: Alan L. Horwitz and Lee A. Rubel
title: Totally positive functions and totally bounded functions on $ [ - 1, 1] $
journal: j-J-APPROX-THEORY
volume: 52
number: 2
pages: 204--216
month: feb
monthnumber: 2
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
affiliation: Pennsylvania State Univ., University Park; Univ. of Illinois, Urbana
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Alan L. Horwitz and Lee A. Rubel
rawtitle: Totally positive functions and totally bounded functions on $ [ - 1, 1] $
entry:
@Article{Horwitz:1988:TPF,
  author =       "Alan L. Horwitz and Lee A. Rubel",
  title =        "Totally positive functions and totally bounded
                 functions on $ [ - 1, 1] $",
  journal =      j-J-APPROX-THEORY,
  volume =       "52",
  number =       "2",
  pages =        "204--216",
  month =        feb,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Pennsylvania State Univ., University Park; Univ. of
                 Illinois, Urbana",
  bibno =        "49653",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "verification; theory",
  guideno =      "1988-10106",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "February 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Ifantis:1988:BFP
author: E. K. Ifantis and P. D. Siafarikas
title: Bounds for the first positive zero of a mixed Bessel function
journal: j-J-COMPUT-APPL-MATH
volume: 21
number: 2
pages: 245--249
month: feb
monthnumber: 2
year: 1988
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 12:20:38 MST 2017
bibtimestamp: 2017.02.25 12:20:38 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042788902737
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: E. K. Ifantis and P. D. Siafarikas
rawtitle: Bounds for the first positive zero of a mixed {Bessel} function
entry:
@Article{Ifantis:1988:BFP,
  author =       "E. K. Ifantis and P. D. Siafarikas",
  title =        "Bounds for the first positive zero of a mixed {Bessel}
                 function",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "21",
  number =       "2",
  pages =        "245--249",
  month =        feb,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:38 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042788902737",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Jacobsen:1988:CAL
author: Lisa Jacobsen and Haakon Waadeland
title: Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
journal: j-NUM-MATH
volume: 53
number: 3
pages: 285--298
month: jul
monthnumber: 7
year: 1988
CODEN: NUMMA7
ISSN: 0029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)
ISSNL: 0029-599X OR 0029599X
MRclass: 65B99 (30B70 40A15)
MRnumber: 89h:65010
MRreviewer: Claude Brezinski
bibdate: Mon May 26 11:49:34 MDT 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.05.26 11:49:34 MDT
fjournal: Numerische Mathematik
acknowledgement: ack-nhfb
corpsource: Dept. of Math. and Stat., Trondheim Univ., Dragvoll, Norway
journalURL: http://link.springer.com/journal/211
treatment: T Theoretical or Mathematical
rawauthor: Lisa Jacobsen and Haakon Waadeland
rawtitle: Convergence acceleration of limit periodic continued fractions under asymptotic side conditions
keywords:
asymptotic side conditions; convergence acceleration; convergence of numerical methods; hypergeometric functions; limit periodic continued fractions; regular C-fraction expansions

entry:
@Article{Jacobsen:1988:CAL,
  author =       "Lisa Jacobsen and Haakon Waadeland",
  title =        "Convergence acceleration of limit periodic continued
                 fractions under asymptotic side conditions",
  journal =      j-NUM-MATH,
  volume =       "53",
  number =       "3",
  pages =        "285--298",
  month =        jul,
  year =         "1988",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65B99 (30B70 40A15)",
  MRnumber =     "89h:65010",
  MRreviewer =   "Claude Brezinski",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290 (Numerical analysis); C4100 (Numerical
                 analysis)",
  corpsource =   "Dept. of Math. and Stat., Trondheim Univ., Dragvoll,
                 Norway",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "asymptotic side conditions; convergence acceleration;
                 convergence of numerical methods; hypergeometric
                 functions; limit periodic continued fractions; regular
                 C-fraction expansions",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: inproceedings
filename: elefunt.bib
label: Johnsson:1988:DPP
author: S. L. Johnsson
editor: J. R. Rice
booktitle: Mathematical aspects of scientific software
title: Data parallel programming and basic linear algebra subroutines
volume: 14
publisher: pub-SV
address: pub-SV:adr
pages: 183--196
year: 1988
ISBN: 0-387-96706-0 OR 0387967060
ISBN13: 978-0-387-96706-6 OR 9780387967066
LCCN: QA76.76.D47 M366 1988
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: The IMS volumes in mathematics and its applications
acknowledgement: ack-nhfb
bookpages: vi + 208
rawauthor: S. L. Johnsson
rawbooktitle: Mathematical aspects of scientific software
raweditor: J. R. Rice
rawtitle: Data parallel programming and basic linear algebra subroutines
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; D. Software; D.1 PROGRAMMING TECHNIQUES; G. Mathematics of Computing; G.4 MATHEMATICAL SOFTWARE

entry:
@InProceedings{Johnsson:1988:DPP,
  author =       "S. L. Johnsson",
  editor =       "J. R. Rice",
  booktitle =    "Mathematical aspects of scientific software",
  title =        "Data parallel programming and basic linear algebra
                 subroutines",
  volume =       "14",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "vi + 208",
  pages =        "183--196",
  year =         "1988",
  ISBN =         "0-387-96706-0",
  ISBN-13 =      "978-0-387-96706-6",
  LCCN =         "QA76.76.D47 M366 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "The IMS volumes in mathematics and its applications",
  acknowledgement = ack-nhfb,
  bibno =        "42725",
  catcode =      "G.1.2; D.1.m; G.4",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; D.1.m Miscellaneous",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Software, PROGRAMMING TECHNIQUES, Miscellaneous;
                 Mathematics of Computing, MATHEMATICAL SOFTWARE",
  genterm =      "theory; algorithms; design; languages",
  guideno =      "1988-02324",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 D. Software; D.1 PROGRAMMING TECHNIQUES; G. Mathematics
                 of Computing; G.4 MATHEMATICAL SOFTWARE",
  waffil =       "Purdue Univ., West Lafayette, IN",
}


bibtype: article
filename: elefunt.bib
label: Kirby:1988:ELA
author: James C. Kirby
title: An Efficient Logarithm Algorithm for Calculators
journal: j-COLLEGE-MATH-J
volume: 19
number: 3
pages: 257--260
month: may
monthnumber: 5
year: 1988
DOI: https://doi.org/10.1080/07468342.1988.11973125
ISSN: 0746-8342 (print), 1931-1346 (electronic) OR 07468342 (print), 19311346 (electronic)
ISSNL: 0746-8342 OR 07468342
bibdate: Thu Feb 14 09:50:43 MST 2019
bibtimestamp: 2019.02.14 09:50:43 MST
URL: http://www.tandfonline.com/doi/abs/10.1080/07468342.1988.11973125
fjournal: College Mathematics Journal
acknowledgement: ack-nhfb
journalURL: https://maa.tandfonline.com/loi/ucmj20; https://www.jstor.org/journal/collmathj
onlinedate: 30 Jan 2018
rawauthor: James C. Kirby
rawtitle: An Efficient Logarithm Algorithm for Calculators
entry:
@Article{Kirby:1988:ELA,
  author =       "James C. Kirby",
  title =        "An Efficient Logarithm Algorithm for Calculators",
  journal =      j-COLLEGE-MATH-J,
  volume =       "19",
  number =       "3",
  pages =        "257--260",
  month =        may,
  year =         "1988",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1080/07468342.1988.11973125",
  ISSN =         "0746-8342 (print), 1931-1346 (electronic)",
  ISSN-L =       "0746-8342",
  bibdate =      "Thu Feb 14 09:50:43 MST 2019",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/collegemathj.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.tandfonline.com/doi/abs/10.1080/07468342.1988.11973125",
  acknowledgement = ack-nhfb,
  fjournal =     "College Mathematics Journal",
  journal-URL =  "https://maa.tandfonline.com/loi/ucmj20;
                 https://www.jstor.org/journal/collmathj",
  onlinedate =   "30 Jan 2018",
}


bibtype: article
filename: elefunt.bib
label: Kowalski:1988:ASP
author: Marek Kowalski and Waldemar Sielski
title: Approximation of smooth periodic functions in several variables
journal: j-J-COMPLEXITY
volume: 4
number: 4
pages: 356--372
month: dec
monthnumber: 12
year: 1988
CODEN: JOCOEH
ISSN: 0885-064X (print), 1090-2708 (electronic) OR 0885064X (print), 10902708 (electronic)
ISSNL: 0885-064X OR 0885064X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of complexity
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/0885064X
rawauthor: Marek Kowalski and Waldemar Sielski
rawtitle: Approximation of smooth periodic functions in several variables
entry:
@Article{Kowalski:1988:ASP,
  author =       "Marek Kowalski and Waldemar Sielski",
  title =        "Approximation of smooth periodic functions in several
                 variables",
  journal =      j-J-COMPLEXITY,
  volume =       "4",
  number =       "4",
  pages =        "356--372",
  month =        dec,
  year =         "1988",
  CODEN =        "JOCOEH",
  ISSN =         "0885-064X (print), 1090-2708 (electronic)",
  ISSN-L =       "0885-064X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56811",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of complexity",
  genterm =      "algorithms; verification; theory",
  guideno =      "1988-10411",
  journal-URL =  "http://www.sciencedirect.com/science/journal/0885064X",
  journalabbrev = "J. Complexity",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Kramer:1988:ISF
author: W. Kramer
title: Inverse standard functions for real and complex point and interval arguments with dynamic accuracy
journal: j-COMPUTING-SUPPLEMENTUM
pages: 185--212
year: 1988
CODEN: COSPDM
ISSN: 0344-8029 OR 03448029
bibdate: Thu Dec 14 17:19:38 MST 1995
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1995.12.14 17:19:38 MST
note: Computer Arithmetic and Scientific Computation.
fjournal: Computing. Supplementum
acknowledgement: ack-nhfb
affiliation: Karlsruhe Univ., West Germany
authordates: 1952--2014 (WK)
thesaurus: Error analysis; Function approximation
issue: no.6 p. 185-212
rawauthor: W. Kr{\"a}mer
rawnote: Computer Arithmetic and Scientific Computation.
rawtitle: Inverse standard functions for real and complex point and interval arguments with dynamic accuracy
abstract:
Algorithms to compute inverse standard functions to arbitrary accuracy with safe error bounds are given. Not only approximation errors but also all possible rounding errors are considered. The desired accuracy of the function as well as the base of the number system used are parameters of the error formula. For implementation it is only assumed that the four elementary arithmetic operations are performed with a certain number of correct digits of the function value. The interval routines are constructed out of the point routines considering the monotonicity behaviour of the functions. The ambiguity of the complex functions is briefly discussed.

keywords:
Approximation errors; Dynamic accuracy; Error formula; Interval arguments; Inverse standard functions; Monotonicity behaviour; Rounding errors

rawabstract:
Algorithms to compute inverse standard functions to arbitrary accuracy with safe error bounds are given. Not only approximation errors but also all possible rounding errors are considered. The desired accuracy of the function as well as the base of the number system used are parameters of the error formula. For implementation it is only assumed that the four elementary arithmetic operations are performed with a certain number of correct digits of the function value. The interval routines are constructed out of the point routines considering the monotonicity behaviour of the functions. The ambiguity of the complex functions is briefly discussed.

entry:
@Article{Kramer:1988:ISF,
  author =       "W. Kr{\"a}mer",
  title =        "Inverse standard functions for real and complex point
                 and interval arguments with dynamic accuracy",
  journal =      j-COMPUTING-SUPPLEMENTUM,
  pages =        "185--212",
  year =         "1988",
  CODEN =        "COSPDM",
  ISSN =         "0344-8029",
  bibdate =      "Thu Dec 14 17:19:38 MST 1995",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Computer Arithmetic and Scientific Computation.",
  abstract =     "Algorithms to compute inverse standard functions to
                 arbitrary accuracy with safe error bounds are given.
                 Not only approximation errors but also all possible
                 rounding errors are considered. The desired accuracy of
                 the function as well as the base of the number system
                 used are parameters of the error formula. For
                 implementation it is only assumed that the four
                 elementary arithmetic operations are performed with a
                 certain number of correct digits of the function value.
                 The interval routines are constructed out of the point
                 routines considering the monotonicity behaviour of the
                 functions. The ambiguity of the complex functions is
                 briefly discussed.",
  acknowledgement = ack-nhfb,
  affiliation =  "Karlsruhe Univ., West Germany",
  author-dates = "1952--2014 (WK)",
  classification = "B0290B (Error analysis in numerical methods); B0290F
                 (Interpolation and function approximation); C4110
                 (Error analysis in numerical methods); C4130
                 (Interpolation and function approximation)",
  confdate =     "30 Sept.-2 Oct. 1987",
  conflocation = "Karlsruhe, West Germany",
  confsponsor =  "Karlsruhe Univ.; GAMM Committee",
  fjournal =     "Computing. Supplementum",
  issue =        "no.6 p. 185-212",
  keywords =     "Approximation errors; Dynamic accuracy; Error formula;
                 Interval arguments; Inverse standard functions;
                 Monotonicity behaviour; Rounding errors",
  pubcountry =   "Austria",
  thesaurus =    "Error analysis; Function approximation",
}


bibtype: article
filename: elefunt.bib
label: Laforgia:1988:MRI
author: Andrea Laforgia and Silvana Sismondi
title: Monotonicity results and inequalities for the gamma and error functions
journal: j-J-COMPUT-APPL-MATH
volume: 23
number: 1
pages: 25--33
month: jul
monthnumber: 7
year: 1988
CODEN: JCAMDI
ISSN: 0377-0427 (print), 1879-1778 (electronic) OR 03770427 (print), 18791778 (electronic)
ISSNL: 0377-0427 OR 03770427
bibdate: Sat Feb 25 12:20:39 MST 2017
bibtimestamp: 2017.02.25 12:20:39 MST
URL: http://www.sciencedirect.com/science/article/pii/0377042788903287
fjournal: Journal of Computational and Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/03770427
rawauthor: Andrea Laforgia and Silvana Sismondi
rawtitle: Monotonicity results and inequalities for the gamma and error functions
entry:
@Article{Laforgia:1988:MRI,
  author =       "Andrea Laforgia and Silvana Sismondi",
  title =        "Monotonicity results and inequalities for the gamma
                 and error functions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "23",
  number =       "1",
  pages =        "25--33",
  month =        jul,
  year =         "1988",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:20:39 MST 2017",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042788903287",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}


bibtype: article
filename: elefunt.bib
label: Lembarki:1988:CAL
author: Alami Lembarki
title: Convergence acceleration of limit $k$-periodic continued fractions
journal: j-APPL-NUM-MATH
volume: 4
number: 2--4
pages: 337--349
month: jun
monthnumber: 6
year: 1988
CODEN: ANMAEL
ISSN: 0168-9274 (print), 1873-5460 (electronic) OR 01689274 (print), 18735460 (electronic)
ISSNL: 0168-9274 OR 01689274
MRclass: 65B05 (40A15)
MRnumber: 89j:65012
MRreviewer: Thomas A. Atchison
bibdate: Sat Feb 8 10:09:54 MST 1997
bibtimestamp: 1997.02.08 10:09:54 MST
fjournal: Applied Numerical Mathematics: Transactions of IMACS
keywords: convergence acceleration
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/01689274/
rawauthor: Alami Lembarki
rawtitle: Convergence acceleration of limit $k$-periodic continued fractions
bibsource:
https://www.math.utah.edu/pub/tex/bib/applnummath.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Lembarki:1988:CAL,
  author =       "Alami Lembarki",
  title =        "Convergence acceleration of limit $k$-periodic
                 continued fractions",
  journal =      j-APPL-NUM-MATH,
  volume =       "4",
  number =       "2--4",
  pages =        "337--349",
  month =        jun,
  year =         "1988",
  CODEN =        "ANMAEL",
  ISSN =         "0168-9274 (print), 1873-5460 (electronic)",
  ISSN-L =       "0168-9274",
  MRclass =      "65B05 (40A15)",
  MRnumber =     "89j:65012",
  MRreviewer =   "Thomas A. Atchison",
  bibdate =      "Sat Feb 8 10:09:54 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/applnummath.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Applied Numerical Mathematics: Transactions of IMACS",
  journal-URL =  "http://www.sciencedirect.com/science/journal/01689274/",
  keywords =     "convergence acceleration",
}


bibtype: incollection
filename: elefunt.bib
label: Levrie:1988:CAM
author: Paul Levrie and Robert Piessens
booktitle: Nonlinear numerical methods and rational approximation (Wilrijk, 1987)
title: Convergence acceleration for Miller's algorithm
volume: 43
publisher: Reidel
address: Dordrecht, The Netherlands
pages: 349--370
year: 1988
MRclass: 65B10 (26C15 39A10)
MRnumber: 1005368 (90m:65012)
MRreviewer: Pierre Hillion
bibdate: Thu Dec 1 17:36:45 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.01 17:36:45 ???
series: Math. Appl.
keywords: convergence acceleration
acknowledgement: ack-nhfb
rawauthor: Paul Levrie and Robert Piessens
rawbooktitle: {Nonlinear numerical methods and rational approximation (Wilrijk, 1987)}
rawtitle: Convergence acceleration for {Miller}'s algorithm
entry:
@InCollection{Levrie:1988:CAM,
  author =       "Paul Levrie and Robert Piessens",
  booktitle =    "{Nonlinear numerical methods and rational
                 approximation (Wilrijk, 1987)}",
  title =        "Convergence acceleration for {Miller}'s algorithm",
  volume =       "43",
  publisher =    "Reidel",
  address =      "Dordrecht, The Netherlands",
  pages =        "349--370",
  year =         "1988",
  MRclass =      "65B10 (26C15 39A10)",
  MRnumber =     "1005368 (90m:65012)",
  MRreviewer =   "Pierre Hillion",
  bibdate =      "Thu Dec 1 17:36:45 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Math. Appl.",
  acknowledgement = ack-nhfb,
  keywords =     "convergence acceleration",
}


bibtype: article
filename: elefunt.bib
label: Lou:1988:ETR
author: Lou van den Dries
title: On the elementary theory of restricted elementary functions
journal: j-J-SYMBOLIC-LOGIC
volume: 53
number: 3
pages: 796--808
year: 1988
CODEN: JSYLA6
ISSN: 0022-4812 (print), 1943-5886 (electronic) OR 00224812 (print), 19435886 (electronic)
ISSNL: 0022-4812 OR 00224812
MRclass: 03C65 (03C40 03C68 12L12)
MRnumber: 89i:03074
MRreviewer: M. Yasuhara
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
fjournal: Journal of Symbolic Logic
acknowledgement: ack-nhfb
journalURL: http://projecteuclid.org/euclid.jsl; http://www.jstor.org/journal/jsymboliclogic
rawauthor: Lou van den Dries
rawtitle: On the elementary theory of restricted elementary functions
entry:
@Article{Lou:1988:ETR,
  author =       "Lou van den Dries",
  title =        "On the elementary theory of restricted elementary
                 functions",
  journal =      j-J-SYMBOLIC-LOGIC,
  volume =       "53",
  number =       "3",
  pages =        "796--808",
  year =         "1988",
  CODEN =        "JSYLA6",
  ISSN =         "0022-4812 (print), 1943-5886 (electronic)",
  ISSN-L =       "0022-4812",
  MRclass =      "03C65 (03C40 03C68 12L12)",
  MRnumber =     "89i:03074",
  MRreviewer =   "M. Yasuhara",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Symbolic Logic",
  journal-URL =  "http://projecteuclid.org/euclid.jsl;
                 http://www.jstor.org/journal/jsymboliclogic",
}


bibtype: phdthesis
filename: elefunt.bib
label: Marsaglia:1988:CES
author: John Christopher Winston Marsaglia
title: Computer Evaluation of the special functions of probability and statistics
type: Ph.D. Dissertation
school: Department of Computer Science, Washington State University
address: Pullman, WA, USA
pages: vii + 79
month: aug
monthnumber: 8
year: 1988
bibdate: Wed Jun 22 07:17:49 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.06.22 07:17:49 ???
acknowledgement: ack-nhfb
rawauthor: John Christopher Winston Marsaglia
rawtitle: Computer Evaluation of the special functions of probability and statistics
keywords:
$exp (x)$; $Phi (x)$; Bernoulli numbers; chi-square distribution; continued fraction; continuous Poisson distribution; Erlang distribution; exponential distribution; Gamma function; incomplete Gamma function; normal distribution; normal probability distribution; Poisson distribution; Stirling's approximation

entry:
@PhdThesis{Marsaglia:1988:CES,
  author =       "John Christopher Winston Marsaglia",
  title =        "Computer Evaluation of the special functions of
                 probability and statistics",
  type =         "{Ph.D.} Dissertation",
  school =       "Department of Computer Science, Washington State
                 University",
  address =      "Pullman, WA, USA",
  pages =        "vii + 79",
  month =        aug,
  year =         "1988",
  bibdate =      "Wed Jun 22 07:17:49 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  keywords =     "$\exp(x)$; $\Phi(x)$; Bernoulli numbers; chi-square
                 distribution; continued fraction; continuous Poisson
                 distribution; Erlang distribution; exponential
                 distribution; Gamma function; incomplete Gamma
                 function; normal distribution; normal probability
                 distribution; Poisson distribution; Stirling's
                 approximation",
}


bibtype: article
filename: elefunt.bib
label: Milone:1988:EDF
author: L. A. Milone and A. A. E. Milone
title: Evaluation of Dawson's function
journal: j-ASTROPHYS-SPACE-SCI
volume: 147
number: 1
pages: 189--191
year: 1988
CODEN: APSSBE
DOI: https://doi.org/10.1007/bf00656618
ISSN: 0004-640X (print), 1572-946X (electronic) OR 0004640X (print), 1572946X (electronic)
ISSNL: 0004-640X OR 0004640X
bibdate: Sat Feb 17 11:54:06 2024
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2024.02.17 11:54:06 ???
fjournal: Astrophysics and Space Science
acknowledgement: ack-nhfb
ajournal: Astrophys. Space Sci.
journalURL: http://link.springer.com/journal/10509
rawauthor: L. A. Milone and A. A. E. Milone
rawtitle: Evaluation of {Dawson}'s function
entry:
@Article{Milone:1988:EDF,
  author =       "L. A. Milone and A. A. E. Milone",
  title =        "Evaluation of {Dawson}'s function",
  journal =      j-ASTROPHYS-SPACE-SCI,
  volume =       "147",
  number =       "1",
  pages =        "189--191",
  year =         "1988",
  CODEN =        "APSSBE",
  DOI =          "https://doi.org/10.1007/bf00656618",
  ISSN =         "0004-640X (print), 1572-946X (electronic)",
  ISSN-L =       "0004-640X",
  bibdate =      "Sat Feb 17 11:54:06 2024",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  ajournal =      "Astrophys. Space Sci.",
  fjournal =     "Astrophysics and Space Science",
  journal-URL =  "http://link.springer.com/journal/10509",
}


bibtype: article
filename: elefunt.bib
label: Mimachi:1988:PRI
author: Katsuhisa Mimachi
title: A proof of Ramanujan's identity by use of loop integrals
journal: j-SIAM-J-MATH-ANA
volume: 19
number: 6
pages: 1490--1493
month: nov
monthnumber: 11
year: 1988
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: Katsuhisa Mimachi
rawtitle: A proof of {Ramanujan}'s identity by use of loop integrals
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

entry:
@Article{Mimachi:1988:PRI,
  author =       "Katsuhisa Mimachi",
  title =        "A proof of {Ramanujan}'s identity by use of loop
                 integrals",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "19",
  number =       "6",
  pages =        "1490--1493",
  month =        nov,
  year =         "1988",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58904",
  catcode =      "G.1.9; G.1.2; F.2.2",
  CRclass =      "G.1.9 Integral Equations; G.1.9 Integro-differential
                 equations; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Mathematics
                 of Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  fjournal =     "SIAM Journal on Mathematical Analysis",
  genterm =      "algorithms; theory",
  guideno =      "1988-13744",
  journal-URL =  "http://epubs.siam.org/sima",
  journalabbrev = "SIAM J. Math. Anal.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY",
}


bibtype: article
filename: elefunt.bib
label: Muroi:1988:ECR
author: Kazuo Muroi
title: Extraction of Cube Roots in Babylonian Mathematics
journal: j-CENTAURUS
volume: 31
number: 3
pages: 181--188
month: oct
monthnumber: 10
year: 1988
CODEN: CENTA4
DOI: https://doi.org/10.1111/j.1600-0498.1988.tb00736.x
ISSN: 0008-8994 (print), 1600-0498 (electronic) OR 00088994 (print), 16000498 (electronic)
ISSNL: 0008-8994 OR 00088994
bibdate: Sat Jul 27 18:43:36 MDT 2013
bibtimestamp: 2013.07.27 18:43:36 MDT
fjournal: Centaurus: An International Journal of the History of Science and its Cultural Aspects
acknowledgement: ack-nhfb
journalURL: http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-0498/
onlinedate: 26 Jul 2007
rawauthor: Kazuo Muroi
rawtitle: Extraction of Cube Roots in {Babylonian} Mathematics
bibsource:
https://www.math.utah.edu/pub/tex/bib/centaurus.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

entry:
@Article{Muroi:1988:ECR,
  author =       "Kazuo Muroi",
  title =        "Extraction of Cube Roots in {Babylonian} Mathematics",
  journal =      j-CENTAURUS,
  volume =       "31",
  number =       "3",
  pages =        "181--188",
  month =        oct,
  year =         "1988",
  CODEN =        "CENTA4",
  DOI =          "https://doi.org/10.1111/j.1600-0498.1988.tb00736.x",
  ISSN =         "0008-8994 (print), 1600-0498 (electronic)",
  ISSN-L =       "0008-8994",
  bibdate =      "Sat Jul 27 18:43:36 MDT 2013",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/centaurus.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Centaurus: An International Journal of the History of
                 Science and its Cultural Aspects",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1111/(ISSN)1600-0498/",
  onlinedate =   "26 Jul 2007",
}


bibtype: book
filename: elefunt.bib
label: Nikiforov:1988:SFM
author: Arnol'd F. Nikiforov and Vasilij B. Uvarov
title: Special functions of mathematical physics: a unified introduction with applications
publisher: pub-BIRKHAUSER
address: pub-BIRKHAUSER:adr
pages: xviii + 427
year: 1988
ISBN: 3-7643-3183-6, 0-8176-3183-6 OR 3764331836, 0817631836
ISBN13: 978-3-7643-3183-2, 978-0-8176-3183-3 OR 9783764331832, 9780817631833
LCCN: QC20.7.F87 N692e
bibdate: Sat Oct 30 18:34:41 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; z3950.gbv.de:20011/gvk
bibtimestamp: 2010.10.30 18:34:41 MDT
note: Translated from the Russian by Ralph P. Boas.
URL: http://www.gbv.de/dms/hbz/toc/ht002696178
acknowledgement: ack-nhfb
rawauthor: Arnol'd F. Nikiforov and Vasilij B. Uvarov
rawnote: Translated from the Russian by Ralph P. Boas.
rawtitle: Special functions of mathematical physics: a unified introduction with applications
entry:
@Book{Nikiforov:1988:SFM,
  author =       "Arnol'd F. Nikiforov and Vasilij B. Uvarov",
  title =        "Special functions of mathematical physics: a unified
                 introduction with applications",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xviii + 427",
  year =         "1988",
  ISBN =         "3-7643-3183-6, 0-8176-3183-6",
  ISBN-13 =      "978-3-7643-3183-2, 978-0-8176-3183-3",
  LCCN =         "QC20.7.F87 N692e",
  bibdate =      "Sat Oct 30 18:34:41 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 z3950.gbv.de:20011/gvk",
  note =         "Translated from the Russian by Ralph P. Boas.",
  URL =          "http://www.gbv.de/dms/hbz/toc/ht002696178",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Olver:1988:EBL
author: F. W. J. Olver
title: Error Bounds for Linear Recurrence Relations
journal: j-MATH-COMPUT
volume: 50
number: 182
pages: 481--499
month: apr
monthnumber: 4
year: 1988
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65Q05 (39A10 65G05)
MRnumber: 89e:65146
MRreviewer: B. Choczewski
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: B0290B (Error analysis in numerical methods); C4110 (Error analysis in numerical methods)
corpsource: Maryland Univ., College Park, MD, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: F. W. J. Olver
rawtitle: Error Bounds for Linear Recurrence Relations
keywords:
a posteriori methods; analysis; Bessel function; bounds; computational complexity; difference equations; error; homogeneous second order; Legendre function; linear recurrence relations; monotonic systems; numerical examples; O(r) arithmetic operations; oscillatory systems; realistic error; relations; rounded interval arithmetic

entry:
@Article{Olver:1988:EBL,
  author =       "F. W. J. Olver",
  title =        "Error Bounds for Linear Recurrence Relations",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "182",
  pages =        "481--499",
  month =        apr,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65Q05 (39A10 65G05)",
  MRnumber =     "89e:65146",
  MRreviewer =   "B. Choczewski",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0290B (Error analysis in numerical methods); C4110
                 (Error analysis in numerical methods)",
  corpsource =   "Maryland Univ., College Park, MD, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "a posteriori methods; analysis; Bessel function;
                 bounds; computational complexity; difference equations;
                 error; homogeneous second order; Legendre function;
                 linear recurrence relations; monotonic systems;
                 numerical examples; O(r) arithmetic operations;
                 oscillatory systems; realistic error; relations;
                 rounded interval arithmetic",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Polyak:1988:SOM
author: R. A. Polyak
title: Smooth optimization methods for minimax problems
journal: j-SIAM-J-CONTROL-OPTIM
volume: 26
number: 6
pages: 1274--1286
month: nov
monthnumber: 11
year: 1988
CODEN: SJCODC
ISSN: 0363-0129 (print), 1095-7138 (electronic) OR 03630129 (print), 10957138 (electronic)
ISSNL: 0363-0129 OR 03630129
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Control and Optimization
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sicon
rawauthor: R. A. Polyak
rawtitle: Smooth optimization methods for minimax problems
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Polyak:1988:SOM,
  author =       "R. A. Polyak",
  title =        "Smooth optimization methods for minimax problems",
  journal =      j-SIAM-J-CONTROL-OPTIM,
  volume =       "26",
  number =       "6",
  pages =        "1274--1286",
  month =        nov,
  year =         "1988",
  CODEN =        "SJCODC",
  ISSN =         "0363-0129 (print), 1095-7138 (electronic)",
  ISSN-L =       "0363-0129",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "57989",
  catcode =      "G.1.6; G.1.2; F.2.1; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Nonlinear programming; G.1.2
                 Approximation; G.1.2 Minimax approximation and
                 algorithms; F.2.1 Numerical Algorithms and Problems;
                 F.2.1 Computation of transforms; G.1.2 Approximation;
                 G.1.2 Elementary function approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Nonlinear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Theory of Computation,
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
                 Numerical Algorithms and Problems, Computation of
                 transforms; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  fjournal =     "SIAM Journal on Control and Optimization",
  genterm =      "algorithms; theory; performance",
  guideno =      "1988-13621",
  journal-URL =  "http://epubs.siam.org/sicon",
  journalabbrev = "SIAM J. Control Optim.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS",
}


bibtype: incollection
filename: elefunt.bib
label: Powell:1988:RBF
author: J. D. Powell
editor: D. F. (David Francis) Griffiths and G. A. Watson
booktitle: Numerical analysis 1987
title: Radial basis function approximations to polynomials
volume: 170
publisher: Longman, Inc.
address: New York, NY, USA
pages: 223--241
year: 1988
ISBN: 0-582-02157-X OR 058202157X
ISBN13: 978-0-582-02157-0 OR 9780582021570
LCCN: QA297.N828 1988
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: Pitman research notes in mathematics series
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.3 PROBABILITY AND STATISTICS
acknowledgement: ack-nhfb
bookpages: 300
rawauthor: J. D. Powell
rawbooktitle: Numerical analysis 1987
raweditor: D. F. (David Francis) Griffiths and G. A. Watson
rawtitle: Radial basis function approximations to polynomials
entry:
@InCollection{Powell:1988:RBF,
  author =       "J. D. Powell",
  editor =       "D. F. (David Francis) Griffiths and G. A. Watson",
  booktitle =    "Numerical analysis 1987",
  title =        "Radial basis function approximations to polynomials",
  volume =       "170",
  publisher =    "Longman, Inc.",
  address =      "New York, NY, USA",
  bookpages =    "300",
  pages =        "223--241",
  year =         "1988",
  ISBN =         "0-582-02157-X",
  ISBN-13 =      "978-0-582-02157-0",
  LCCN =         "QA297.N828 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$54.95",
  series =       "Pitman research notes in mathematics series",
  acknowledgement = ack-nhfb,
  bibno =        "54996",
  catcode =      "G.1.2; G.1.2; G.1.9; G.1.1; G.3; G.1.7",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Spline and
                 piecewise polynomial approximation; G.1.9 Integral
                 Equations; G.1.9 Integro-differential equations; G.1.1
                 Interpolation; G.1.1 Spline and piecewise polynomial
                 interpolation; G.3 Statistical computing; G.1.7
                 Ordinary Differential Equations; G.1.7 Convergence and
                 stability",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Spline and piecewise polynomial
                 approximation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Integral Equations, Integro-differential
                 equations; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Interpolation, Spline and piecewise
                 polynomial interpolation; Mathematics of Computing,
                 PROBABILITY AND STATISTICS, Statistical computing;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability",
  genterm =      "algorithms; performance",
  guideno =      "1988-01246",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G.3 PROBABILITY AND STATISTICS",
  waffil =       "Univ. of Dundee; Univ. of Dundee",
}


bibtype: article
filename: elefunt.bib
label: Proinov:1988:ISF
author: Petko D. Proinov
title: Integration of smooth functions and $ phi $-discrepancy
journal: j-J-APPROX-THEORY
volume: 52
number: 3
pages: 284--292
month: mar
monthnumber: 3
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
affiliation: Univ. of Plovdiv, Plovdiv, Bulgaria
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Petko D. Proinov
rawtitle: Integration of smooth functions and $ \phi $-discrepancy
entry:
@Article{Proinov:1988:ISF,
  author =       "Petko D. Proinov",
  title =        "Integration of smooth functions and $ \phi
                 $-discrepancy",
  journal =      j-J-APPROX-THEORY,
  volume =       "52",
  number =       "3",
  pages =        "284--292",
  month =        mar,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Plovdiv, Plovdiv, Bulgaria",
  bibno =        "49659",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "verification; theory",
  guideno =      "1988-10111",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "March 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Puoskari:1988:MCB
author: M. Puoskari
title: A method for computing Bessel function integrals
journal: j-J-COMPUT-PHYS
volume: 75
number: 2
pages: 334--344
month: apr
monthnumber: 4
year: 1988
CODEN: JCTPAH
DOI: https://doi.org/10.1016/0021-9991(88)90116-7
ISSN: 0021-9991 (print), 1090-2716 (electronic) OR 00219991 (print), 10902716 (electronic)
ISSNL: 0021-9991 OR 00219991
bibdate: Sun Jan 1 15:59:40 MST 2012
bibtimestamp: 2012.01.01 15:59:40 MST
URL: http://www.sciencedirect.com/science/article/pii/0021999188901167
fjournal: Journal of Computational Physics
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219991/
rawauthor: M. Puoskari
rawtitle: A method for computing {Bessel} function integrals
entry:
@Article{Puoskari:1988:MCB,
  author =       "M. Puoskari",
  title =        "A method for computing {Bessel} function integrals",
  journal =      j-J-COMPUT-PHYS,
  volume =       "75",
  number =       "2",
  pages =        "334--344",
  month =        apr,
  year =         "1988",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(88)90116-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  bibdate =      "Sun Jan 1 15:59:40 MST 2012",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999188901167",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}


bibtype: article
filename: elefunt.bib
label: Richardson:1988:NMT
author: Daniel Richardson
title: Nonstandard models of the theory of elementary functions of a real variable
journal: j-Z-MATH-LOGIK-GRUNDL-MATH
volume: 34
number: 4
pages: 355--372
year: 1988
CODEN: ZMLGAQ
ISBN: 0044-3050 OR 00443050
ISBN13: 0044-3050 OR 00443050
ISSN: 0044-3050 OR 00443050
MRclass: 03B30 (03C62 03H15 26E35)
MRnumber: 90a:03009
MRreviewer: Reuven H. Gurevi{\v{c}}
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
fjournal: Zeitschrift fur mathematische Logik und Grundlagen der Mathematik
acknowledgement: ack-nhfb
rawauthor: Daniel Richardson
rawtitle: Nonstandard models of the theory of elementary functions of a real variable
entry:
@Article{Richardson:1988:NMT,
  author =       "Daniel Richardson",
  title =        "Nonstandard models of the theory of elementary
                 functions of a real variable",
  journal =      j-Z-MATH-LOGIK-GRUNDL-MATH,
  volume =       "34",
  number =       "4",
  pages =        "355--372",
  year =         "1988",
  CODEN =        "ZMLGAQ",
  ISBN =         "0044-3050",
  ISBN-13 =      "0044-3050",
  ISSN =         "0044-3050",
  MRclass =      "03B30 (03C62 03H15 26E35)",
  MRnumber =     "90a:03009",
  MRreviewer =   "Reuven H. Gurevi{\v{c}}",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "{Zeitschrift f{\"u}r mathematische Logik und
                 Grundlagen der Mathematik}",
}


bibtype: article
filename: elefunt.bib
label: Ruscheweyh:1988:EST
author: Stephan Ruscheweyh
title: Extension of Szego's theorem on the sections of univalent functions
journal: j-SIAM-J-MATH-ANA
volume: 19
number: 6
pages: 1442--1449
month: nov
monthnumber: 11
year: 1988
CODEN: SJMAAH
ISSN: 0036-1410 (print), 1095-7154 (electronic) OR 00361410 (print), 10957154 (electronic)
ISSNL: 0036-1410 OR 00361410
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Mathematical Analysis
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/sima
rawauthor: Stephan Ruscheweyh
rawtitle: Extension of {Szeg{\H{o}}}'s theorem on the sections of univalent functions
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

entry:
@Article{Ruscheweyh:1988:EST,
  author =       "Stephan Ruscheweyh",
  title =        "Extension of {Szeg{\H{o}}}'s theorem on the sections
                 of univalent functions",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "19",
  number =       "6",
  pages =        "1442--1449",
  month =        nov,
  year =         "1988",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "58899",
  catcode =      "G.1.2; G.1.9; F.2.2; F.2.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.9 Integral Equations; G.1.9
                 Integro-differential equations; F.2.2 Nonnumerical
                 Algorithms and Problems; F.2.2 Computations on discrete
                 structures; F.2.2 Nonnumerical Algorithms and Problems;
                 F.2.2 Geometrical problems and computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Integral
                 Equations, Integro-differential equations; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Computations on discrete structures; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Geometrical problems and computations",
  fjournal =     "SIAM Journal on Mathematical Analysis",
  genterm =      "algorithms; theory",
  guideno =      "1988-13739",
  journal-URL =  "http://epubs.siam.org/sima",
  journalabbrev = "SIAM J. Math. Anal.",
  jrldate =      "Nov. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}


bibtype: article
filename: elefunt.bib
label: Schappacher:1988:EIG
author: Norbert Schappacher
title: Elliptic integrals and the gamma function
journal: j-LECT-NOTES-MATH
volume: 1301
pages: 117--127
year: 1988
CODEN: LNMAA2
DOI: https://doi.org/10.1007/BFb0082098
ISBN: 3-540-18915-7 (print), 3-540-38842-7 (e-book) OR 3540189157 (print), 3540388427 (ebook)
ISSN: 0075-8434 (print), 1617-9692 (electronic) OR 00758434 (print), 16179692 (electronic)
ISSNL: 0075-8434 OR 00758434
bibdate: Fri May 9 19:07:24 MDT 2014
bibtimestamp: 2014.05.09 19:07:24 MDT
URL: http://link.springer.com/chapter/10.1007/BFb0082098/
fjournal: Lecture Notes in Mathematics
acknowledgement: ack-nhfb
bookDOI: https://doi.org/10.1007/BFb0082094
bookURL: http://www.springerlink.com/content/978-3-540-38842-5
journalURL: http://link.springer.com/bookseries/304
rawauthor: Norbert Schappacher
rawtitle: Elliptic integrals and the gamma function
ISBN13:
978-3-540-18915-2 (print), 978-3-540-38842-5 (e-book) OR 9783540189152 (print), 9783540388425 (ebook)

bibsource:
https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/lnm1985.bib

entry:
@Article{Schappacher:1988:EIG,
  author =       "Norbert Schappacher",
  title =        "Elliptic integrals and the gamma function",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1301",
  pages =        "117--127",
  year =         "1988",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0082098",
  ISBN =         "3-540-18915-7 (print), 3-540-38842-7 (e-book)",
  ISBN-13 =      "978-3-540-18915-2 (print), 978-3-540-38842-5
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  bibdate =      "Fri May 9 19:07:24 MDT 2014",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/lnm1985.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0082098/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0082094",
  book-URL =     "http://www.springerlink.com/content/978-3-540-38842-5",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}


bibtype: inproceedings
filename: elefunt.bib
label: Schwarz:1988:CLI
author: Jerry Schwarz
title: A C++ Library for Infinite Precision Floating Point
crossref: USENIX:1988:UPC
pages: 271--281
year: 1988
bibdate: Tue Dec 12 09:20:21 MST 1995
bibsource: ftp://ftp.uu.net/library/bibliography; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1995.12.12 09:20:21 MST
acknowledgement: ack-nhfb
affiliation: AT&T Bell Laboratories, Murray Hill
bookpages: 362
thesaurus: C language; Digital arithmetic; Object-oriented programming; Subroutines
rawauthor: Jerry Schwarz
rawtitle: A {C++} Library for Infinite Precision Floating Point
abstract:
The Real library supports infinite precision floating point computation in C++. Arbitrary precision rational arithmetic and transcendental functions are supported.

keywords:
C++ library; Infinite precision floating point; Rational arithmetic; Real library; Transcendental functions

rawabstract:
The Real library supports infinite precision floating point computation in C++. Arbitrary precision rational arithmetic and transcendental functions are supported.

entry:
@InProceedings{Schwarz:1988:CLI,
  author =       "Jerry Schwarz",
  title =        "A {C++} Library for Infinite Precision Floating
                 Point",
  crossref =     "USENIX:1988:UPC",
  bookpages =    "362",
  pages =        "271--281",
  year =         "1988",
  bibdate =      "Tue Dec 12 09:20:21 MST 1995",
  bibsource =    "ftp://ftp.uu.net/library/bibliography;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  abstract =     "The Real library supports infinite precision floating
                 point computation in C++. Arbitrary precision rational
                 arithmetic and transcendental functions are
                 supported.",
  acknowledgement = ack-nhfb,
  affiliation =  "AT\&T Bell Laboratories, Murray Hill",
  classification = "C5230 (Digital arithmetic methods); C6130 (Data
                 handling techniques)",
  confdate =     "17--21 Oct. 1988",
  conflocation = "Denver, CO, USA",
  keywords =     "C++ library; Infinite precision floating point;
                 Rational arithmetic; Real library; Transcendental
                 functions",
  pubcountry =   "USA",
  thesaurus =    "C language; Digital arithmetic; Object-oriented
                 programming; Subroutines",
}


bibtype: inproceedings
filename: elefunt.bib
label: Sobczyk:1988:SMA
author: Kazimierz Sobczyk
editor: W. Schiehlen and W. Wedig
booktitle: Analysis and estimation of stochastic mechanical systems
title: Stochastic modelling and analysis of fatigue
volume: 303
publisher: pub-SV
address: pub-SV:adr
pages: 269--313
year: 1988
ISBN: 0-387-82058-2 OR 0387820582
ISBN13: 978-0-387-82058-3 OR 9780387820583
LCCN: TA350.3.I5 no.303; TJ173 .A531 1988
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: Courses and lectures
acknowledgement: ack-nhfb
bookpages: 350
rawauthor: Kazimierz Sobczyk
rawbooktitle: Analysis and estimation of stochastic mechanical systems
raweditor: W. Schiehlen and W. Wedig
rawtitle: Stochastic modelling and analysis of fatigue
subject:
J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; I. Computing Methodologies; I.6 SIMULATION AND MODELING; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@InProceedings{Sobczyk:1988:SMA,
  author =       "Kazimierz Sobczyk",
  editor =       "W. Schiehlen and W. Wedig",
  booktitle =    "Analysis and estimation of stochastic mechanical
                 systems",
  title =        "Stochastic modelling and analysis of fatigue",
  volume =       "303",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "350",
  pages =        "269--313",
  year =         "1988",
  ISBN =         "0-387-82058-2",
  ISBN-13 =      "978-0-387-82058-3",
  LCCN =         "TA350.3.I5 no.303; TJ173 .A531 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Courses and lectures",
  acknowledgement = ack-nhfb,
  bibno =        "58064",
  catcode =      "J.2; I.6.3; G.1.8; G.3; G.1.2; G.1.9",
  CRclass =      "J.2 Engineering; I.6.3 Applications; G.1.8 Partial
                 Differential Equations; G.1.8 Difference methods; G.3
                 Probabilistic algorithms (including Monte Carlo); G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.9 Integral Equations; G.1.9 Integro-differential
                 equations",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Engineering; Computing Methodologies,
                 SIMULATION AND MODELING, Applications; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations, Difference methods; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Probabilistic
                 algorithms (including Monte Carlo); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Integral Equations,
                 Integro-differential equations",
  genterm =      "algorithms; theory; design; measurement; reliability",
  guideno =      "1988-17476",
  procdate =     "1987",
  procloc =      "International Centre for Mechanical Sciences in
                 Udine",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; I. Computing Methodologies; I.6 SIMULATION
                 AND MODELING; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3
                 PROBABILITY AND STATISTICS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS",
  waffil =       "Univ. of Stuttgart; Univ. of Karlsruhe",
}


bibtype: article
filename: elefunt.bib
label: Stephens:1988:SCR
author: A. J. Stephens and H. C. Williams
title: Some computational results on a problem concerning powerful numbers
journal: j-MATH-COMPUT
volume: 50
number: 182
pages: 619--632
month: apr
monthnumber: 4
year: 1988
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 11R11 (11A51 11R27 11Y16 11Y40)
MRnumber: 89d:11091
MRreviewer: H. J. Godwin
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man., Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical; X Experimental
rawauthor: A. J. Stephens and H. C. Williams
rawtitle: Some computational results on a problem concerning powerful numbers
keywords:
computational complexity; continued; fractions; free integer; fundamental unit; number theory; positive square-; real quadratic number fields; regulator algorithm Amdahl 5850; step algorithm; time complexity $O(D^1/4+epsilon )$

classcodes:
B0210 (Algebra); B0250 (Combinatorial mathematics); C1110 (Algebra); C1160 (Combinatorial mathematics)

entry:
@Article{Stephens:1988:SCR,
  author =       "A. J. Stephens and H. C. Williams",
  title =        "Some computational results on a problem concerning
                 powerful numbers",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "182",
  pages =        "619--632",
  month =        apr,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "11R11 (11A51 11R27 11Y16 11Y40)",
  MRnumber =     "89d:11091",
  MRreviewer =   "H. J. Godwin",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "B0210 (Algebra); B0250 (Combinatorial mathematics);
                 C1110 (Algebra); C1160 (Combinatorial mathematics)",
  corpsource =   "Dept. of Comput. Sci., Manitoba Univ., Winnipeg, Man.,
                 Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "computational complexity; continued; fractions; free
                 integer; fundamental unit; number theory; positive
                 square-; real quadratic number fields; regulator
                 algorithm Amdahl 5850; step algorithm; time complexity
                 $O(D^{1/4+\epsilon})$",
  treatment =    "T Theoretical or Mathematical; X Experimental",
}


bibtype: inproceedings
filename: elefunt.bib
label: Stillinger:1988:CPS
author: Frank H. Stillinger
editor: Donald G. Truhlar
booktitle: Mathematical frontiers in computational chemical physics
title: Collective phenomena in statistical mechanics and the geometry of potential energy hypersurfaces
volume: 15
publisher: pub-SV
address: pub-SV:adr
pages: 157--173
year: 1988
ISBN: 0-387-96782-6 OR 0387967826
ISBN13: 978-0-387-96782-0 OR 9780387967820
LCCN: QD455.3.M3 M38 1988
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: The IMA volumes in mathematics and its applications
acknowledgement: ack-nhfb
bookpages: xii + 349
rawauthor: Frank H. Stillinger
rawbooktitle: Mathematical frontiers in computational chemical physics
raweditor: Donald G. Truhlar
rawtitle: Collective phenomena in statistical mechanics and the geometry of potential energy hypersurfaces
note:
Proceedings of the Workshop on Atomic and Molecular Structure and Dynamics, held June 15--July 24, 1987, at the Institute for Mathematics and Its Applications, University of Minnesota.

subject:
J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

rawnote:
Proceedings of the Workshop on Atomic and Molecular Structure and Dynamics, held June 15--July 24, 1987, at the Institute for Mathematics and Its Applications, University of Minnesota.

entry:
@InProceedings{Stillinger:1988:CPS,
  author =       "Frank H. Stillinger",
  editor =       "Donald G. Truhlar",
  booktitle =    "Mathematical frontiers in computational chemical
                 physics",
  title =        "Collective phenomena in statistical mechanics and the
                 geometry of potential energy hypersurfaces",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  bookpages =    "xii + 349",
  pages =        "157--173",
  year =         "1988",
  ISBN =         "0-387-96782-6",
  ISBN-13 =      "978-0-387-96782-0",
  LCCN =         "QD455.3.M3 M38 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "Proceedings of the Workshop on Atomic and Molecular
                 Structure and Dynamics, held June 15--July 24, 1987, at
                 the Institute for Mathematics and Its Applications,
                 University of Minnesota.",
  price =        "US\$36.80",
  series =       "The IMA volumes in mathematics and its applications",
  acknowledgement = ack-nhfb,
  bibno =        "58051",
  catcode =      "J.2; J.2; J.2; F.2.2; G.3; G.1.2",
  CRclass =      "J.2 Physics; J.2 Chemistry; J.2 Engineering; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2 Geometrical
                 problems and computations; G.3 Statistical computing;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Computer Applications, PHYSICAL SCIENCES AND
                 ENGINEERING, Physics; Computer Applications, PHYSICAL
                 SCIENCES AND ENGINEERING, Chemistry; Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Engineering; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations; Mathematics of Computing, PROBABILITY AND
                 STATISTICS, Statistical computing; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  genterm =      "algorithms; theory",
  guideno =      "1988-17776",
  procdate =     "1982",
  procloc =      "Univ. of Minnesota, Minneapolis",
  subject =      "J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; J. Computer Applications; J.2 PHYSICAL
                 SCIENCES AND ENGINEERING; J. Computer Applications; J.2
                 PHYSICAL SCIENCES AND ENGINEERING; F. Theory of
                 Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY; G. Mathematics of Computing; G.3
                 PROBABILITY AND STATISTICS; G. Mathematics of
                 Computing; G.1 NUMERICAL ANALYSIS",
  waffil =       "Univ. of Minnesota, Minneapolis",
}


bibtype: article
filename: elefunt.bib
label: Sun:1988:SAF
author: Xiehua Sun
journal: j-J-APPROX-THEORY
volume: 55
number: 3
pages: 279--288
month: dec
monthnumber: 12
year: 1988
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
subject: G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: Xiehua Sun
title:
On the simultaneous approximation of functions and their derivatives by the Szasz--Mirakyan operator

rawtitle:
On the simultaneous approximation of functions and their derivatives by the {Szasz--Mirakyan} operator

entry:
@Article{Sun:1988:SAF,
  author =       "Xiehua Sun",
  title =        "On the simultaneous approximation of functions and
                 their derivatives by the {Szasz--Mirakyan} operator",
  journal =      j-J-APPROX-THEORY,
  volume =       "55",
  number =       "3",
  pages =        "279--288",
  month =        dec,
  year =         "1988",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "56048",
  catcode =      "G.1.2",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "verification; theory",
  guideno =      "1988-10194",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Dec. 1988",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: techreport
filename: elefunt.bib
label: Tang:1988:PIG
author: Ping Tak Peter Tang
title: Portable Implementation of a Generic Exponential Function
type: Technical report
number: ANL-88-3
institution: inst-ANL
address: inst-ANL:adr
pages: 279--288
year: 1988
bibdate: Fri Dec 28 11:27:51 2007
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2007.12.28 11:27:51 ???
acknowledgement: ack-nhfb
rawauthor: Ping Tak Peter Tang
rawtitle: Portable Implementation of a Generic Exponential Function
entry:
@TechReport{Tang:1988:PIG,
  author =       "Ping Tak Peter Tang",
  title =        "Portable Implementation of a Generic Exponential
                 Function",
  type =         "Technical report",
  number =       "ANL-88-3",
  institution =  inst-ANL,
  address =      inst-ANL:adr,
  year =         "1988",
  bibdate =      "Fri Dec 28 11:27:51 2007",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: book
filename: elefunt.bib
label: vanRijckevorsek:1988:CCA
editor: Jan L. A. van Rijckevorsek and Jan de Leeus
title: Component and correspondence analysis: dimension reduction by functional approximation
publisher: pub-WILEY
address: pub-WILEY:adr
pages: xiii + 146
year: 1988
ISBN: 0-471-91847-4 OR 0471918474
ISBN13: 978-0-471-91847-9 OR 9780471918479
LCCN: QA278.5 .C6571 1988
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
series: Wiley series in probability and mathematical statistics
acknowledgement: ack-nhfb
raweditor: Jan L. A. van Rijckevorsek and Jan de Leeus
rawtitle: Component and correspondence analysis: dimension reduction by functional approximation
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS

entry:
@Book{vanRijckevorsek:1988:CCA,
  editor =       "Jan L. A. van Rijckevorsek and Jan de Leeus",
  title =        "Component and correspondence analysis: dimension
                 reduction by functional approximation",
  publisher =    pub-WILEY,
  address =      pub-WILEY:adr,
  pages =        "xiii + 146",
  year =         "1988",
  ISBN =         "0-471-91847-4",
  ISBN-13 =      "978-0-471-91847-9",
  LCCN =         "QA278.5 .C6571 1988",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  price =        "US\$40",
  series =       "Wiley series in probability and mathematical
                 statistics",
  acknowledgement = ack-nhfb,
  bibno =        "59092",
  catcode =      "G.1.2; G.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.3 Statistical computing",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing",
  genterm =      "theory; algorithms",
  guideno =      "1988-03042",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS",
}


bibtype: book
filename: elefunt.bib
label: Vilenkin:1988:SFT
author: N. Ja. (Naum Jakovlevich) Vilenkin
title: Special functions and the theory of group representations
volume: 22
publisher: pub-AMS
address: pub-AMS:adr
pages: x + 613
year: 1988
ISBN: 0-8218-1572-5 OR 0821815725
ISBN13: 978-0-8218-1572-4 OR 9780821815724
LCCN: QA3 .A5 v.22 1988
bibdate: Sat Oct 30 17:01:56 MDT 2010
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; prodorbis.library.yale.edu:7090/voyager
bibtimestamp: 2010.10.30 17:01:56 MDT
note: Reprint of 1968 edition.
series: Translations of mathematical monographs
subject: Representations of groups; Functions, Special
acknowledgement: ack-nhfb
rawauthor: N. Ja. (Naum Jakovlevich) Vilenkin
rawnote: Reprint of 1968 edition.
rawtitle: Special functions and the theory of group representations
entry:
@Book{Vilenkin:1988:SFT,
  author =       "N. Ja. (Naum Jakovlevich) Vilenkin",
  title =        "Special functions and the theory of group
                 representations",
  volume =       "22",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "x + 613",
  year =         "1988",
  ISBN =         "0-8218-1572-5",
  ISBN-13 =      "978-0-8218-1572-4",
  LCCN =         "QA3 .A5 v.22 1988",
  bibdate =      "Sat Oct 30 17:01:56 MDT 2010",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 prodorbis.library.yale.edu:7090/voyager",
  note =         "Reprint of 1968 edition.",
  series =       "Translations of mathematical monographs",
  acknowledgement = ack-nhfb,
  subject =      "Representations of groups; Functions, Special",
}


bibtype: article
filename: elefunt.bib
label: Wong:1988:AE
author: R. Wong
title: Asymptotic Expansion of $ int ^pi / 2_0 J^2_nu (lambda cos theta ) d theta $
journal: j-MATH-COMPUT
volume: 50
number: 181
pages: 229--234
month: jan
monthnumber: 1
year: 1988
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 41A60 (33A40)
MRnumber: 89g:41022
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
corpsource: Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man., Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: R. Wong
rawtitle: Asymptotic Expansion of $ \int^{\pi / 2}_0 {J}^2_\nu (\lambda \cos \theta) d \theta $
keywords:
asymptotic expansion; Bessel function; Bessel functions; crystallography; diffraction theory; function approximation; integral; integration

classcodes:
A0260 (Numerical approximation and analysis); A0270 (Computational techniques); C4130 (Interpolation and function approximation); C4160 (Numerical integration and differentiation)

entry:
@Article{Wong:1988:AE,
  author =       "R. Wong",
  title =        "Asymptotic Expansion of $ \int^{\pi / 2}_0 {J}^2_\nu
                 (\lambda \cos \theta) d \theta $",
  journal =      j-MATH-COMPUT,
  volume =       "50",
  number =       "181",
  pages =        "229--234",
  month =        jan,
  year =         "1988",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "41A60 (33A40)",
  MRnumber =     "89g:41022",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "A0260 (Numerical approximation and analysis); A0270
                 (Computational techniques); C4130 (Interpolation and
                 function approximation); C4160 (Numerical integration
                 and differentiation)",
  corpsource =   "Dept. of Appl. Math., Manitoba Univ., Winnipeg, Man.,
                 Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "asymptotic expansion; Bessel function; Bessel
                 functions; crystallography; diffraction theory;
                 function approximation; integral; integration",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: inproceedings
filename: elefunt.bib
label: Ahmed:1989:EEF
author: H. M. Ahmed
title: Efficient Elementary Function Generation with Multipliers
crossref: Ercegovac:1989:PSC
pages: 52--59
year: 1989
bibdate: Sat Nov 27 14:19:10 MST 2004
bibsource: ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.11.27 14:19:10 MST
acknowledgement: ack-nhfb
rawauthor: H. M. Ahmed
rawtitle: Efficient Elementary Function Generation with Multipliers
entry:
@InProceedings{Ahmed:1989:EEF,
  author =       "H. M. Ahmed",
  title =        "Efficient Elementary Function Generation with
                 Multipliers",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "52--59",
  year =         "1989",
  bibdate =      "Sat Nov 27 14:19:10 MST 2004",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb # " and " # ack-nj,
}


bibtype: article
filename: elefunt.bib
label: Armbruster:1989:KSD
author: Dieter Armbruster and John Guckenheimer and Philip Holmes
title: Kuramoto--Sivashinsky dynamics on the center-unstable manifold
journal: j-SIAM-J-APPL-MATH
volume: 49
number: 3
pages: 676--691
month: jun
monthnumber: 6
year: 1989
CODEN: SMJMAP
ISSN: 0036-1399 (print), 1095-712X (electronic) OR 00361399 (print), 1095712X (electronic)
ISSNL: 0036-1399 OR 00361399
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Applied Mathematics
acknowledgement: ack-nhfb
affiliation: Cornell Univ., Ithaca, NY; Cornell Univ., Ithaca, NY; Cornell Univ., Ithaca, NY
journalURL: http://epubs.siam.org/siap
rawauthor: Dieter Armbruster and John Guckenheimer and Philip Holmes
rawtitle: {Kuramoto--Sivashinsky} dynamics on the center-unstable manifold
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Armbruster:1989:KSD,
  author =       "Dieter Armbruster and John Guckenheimer and Philip
                 Holmes",
  title =        "{Kuramoto--Sivashinsky} dynamics on the
                 center-unstable manifold",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "676--691",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Cornell Univ., Ithaca, NY; Cornell Univ., Ithaca, NY;
                 Cornell Univ., Ithaca, NY",
  bibno =        "64938",
  catcode =      "G.1.7; G.1.7; G.1.0; J.2; G.1.2; G.1.8",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability; G.1.7 Ordinary Differential
                 Equations; G.1.7 Boundary value problems; G.1.0
                 General; G.1.0 Numerical algorithms; J.2 Physics; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.8 Partial Differential Equations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Boundary value problems;
                 Mathematics of Computing, NUMERICAL ANALYSIS, General,
                 Numerical algorithms; Computer Applications, PHYSICAL
                 SCIENCES AND ENGINEERING, Physics; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations",
  fjournal =     "SIAM Journal on Applied Mathematics",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09707",
  journal-URL =  "http://epubs.siam.org/siap",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J.
                 Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Avellaneda:1989:OBE
author: Marco Avellaneda and Graeme W. Milton
title: Optimal bounds on the effective bulk modulus of polycrystals
journal: j-SIAM-J-APPL-MATH
volume: 49
number: 3
pages: 824--837
month: jun
monthnumber: 6
year: 1989
CODEN: SMJMAP
ISSN: 0036-1399 (print), 1095-712X (electronic) OR 00361399 (print), 1095712X (electronic)
ISSNL: 0036-1399 OR 00361399
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/siap
rawauthor: Marco Avellaneda and Graeme W. Milton
rawtitle: Optimal bounds on the effective bulk modulus of polycrystals
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; J. Computer Applications; J.2 PHYSICAL SCIENCES AND ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Avellaneda:1989:OBE,
  author =       "Marco Avellaneda and Graeme W. Milton",
  title =        "Optimal bounds on the effective bulk modulus of
                 polycrystals",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "824--837",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64947",
  catcode =      "G.1.8; J.2; G.1.2; G.1.6",
  CRclass =      "G.1.8 Partial Differential Equations; G.1.8 Difference
                 methods; J.2 Physics; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.6 Optimization;
                 G.1.6 Constrained optimization",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Partial
                 Differential Equations, Difference methods; Computer
                 Applications, PHYSICAL SCIENCES AND ENGINEERING,
                 Physics; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Constrained optimization",
  fjournal =     "SIAM Journal on Applied Mathematics",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09716",
  journal-URL =  "http://epubs.siam.org/siap",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 J. Computer Applications; J.2 PHYSICAL SCIENCES AND
                 ENGINEERING; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Bauer:1989:BKR
author: Friedrich L. Bauer
journal: Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber.
pages: 27--33 (1990)
year: 1989
ISSN: 0340-7586 OR 03407586
MRclass: 11Y60 (65D20) 26A06 11Y60 65D20
MRnumber: 1086008
MRreviewer: F. Beukers
bibdate: Thu Aug 20 18:22:34 2020
bibtimestamp: 2020.08.20 18:22:34 ???
keywords: asymptotic expansion; Euler's constant; series representation
language: German
ZMnumber: 0777.26004
acknowledgement: ack-nhfb
authordates: Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26 March 2015)
rawauthor: Friedrich L. Bauer
title:
Eine Bemerkung zu Koechers Reihen fur die Eulersche Konstante. (German) [A remark on Koecher's series for the Euler's constant]

bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib

fjournal:
Bayerische Akademie der Wissenschaften. Mathematisch-Naturwissenschaftliche Klasse. Sitzungsberichte

rawtitle:
{Eine Bemerkung zu Koechers Reihen f{\"u}r die Eulersche Konstante}. ({German}) [{A} remark on {Koecher}'s series for the {Euler}'s constant]

entry:
@Article{Bauer:1989:BKR,
  author =       "Friedrich L. Bauer",
  title =        "{Eine Bemerkung zu Koechers Reihen f{\"u}r die
                 Eulersche Konstante}. ({German}) [{A} remark on
                 {Koecher}'s series for the {Euler}'s constant]",
  journal =      "Bayer. Akad. Wiss. Math.-Natur. Kl. Sitzungsber.",
  pages =        "27--33 (1990)",
  year =         "1989",
  ISSN =         "0340-7586",
  MRclass =      "11Y60 (65D20) 26A06 11Y60 65D20",
  MRnumber =     "1086008",
  MRreviewer =   "F. Beukers",
  bibdate =      "Thu Aug 20 18:22:34 2020",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/bauer-friedrich-ludwig.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  ZMnumber =     "0777.26004",
  acknowledgement = ack-nhfb,
  author-dates = "Friedrich (``Fritz'') Ludwig Bauer (10 June 1924--26
                 March 2015)",
  fjournal =     "Bayerische Akademie der Wissenschaften.
                 Mathematisch-Naturwissenschaftliche Klasse.
                 Sitzungsberichte",
  keywords =     "asymptotic expansion; Euler's constant; series
                 representation",
  language =     "German",
  zmid =         "00005959",
}


bibtype: article
filename: elefunt.bib
label: Belaga:1989:TMM
author: E. G. Belaga
journal: j-ACTA-INFO
volume: 26
number: 4
pages: 381--407
month: feb
monthnumber: 2
year: 1989
CODEN: AINFA2
ISSN: 0001-5903 (print), 1432-0525 (electronic) OR 00015903 (print), 14320525 (electronic)
ISSNL: 0001-5903 OR 00015903
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Acta Informatica
acknowledgement: ack-nhfb
affiliation: Univ. Louis Pasteur, Strasbourg Cedex, France and Univ. su Pisa, Pisa, Italy
journalURL: http://www.springerlink.com/content/0001-5903
rawauthor: E. G. Belaga
title:
Through the mincing machine with a Boolean layer cake: nonstandard computations over Boolean circuits in the lower-bounds-to-circuit-size complexity proving

subject:
F. Theory of Computation; F.4 MATHEMATICAL LOGIC AND FORMAL LANGUAGES; B. Hardware; B.6 LOGIC DESIGN; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

rawtitle:
Through the mincing machine with a {Boolean} layer cake: nonstandard computations over {Boolean} circuits in the lower-bounds-to-circuit-size complexity proving

entry:
@Article{Belaga:1989:TMM,
  author =       "E. G. Belaga",
  title =        "Through the mincing machine with a {Boolean} layer
                 cake: nonstandard computations over {Boolean} circuits
                 in the lower-bounds-to-circuit-size complexity
                 proving",
  journal =      j-ACTA-INFO,
  volume =       "26",
  number =       "4",
  pages =        "381--407",
  month =        feb,
  year =         "1989",
  CODEN =        "AINFA2",
  ISSN =         "0001-5903 (print), 1432-0525 (electronic)",
  ISSN-L =       "0001-5903",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. Louis Pasteur, Strasbourg Cedex, France and
                 Univ. su Pisa, Pisa, Italy",
  bibno =        "69310",
  catcode =      "F.4.1; B.6.1; F.1.1; F.1.3; F.2.2; F.1.2; G.1.2;
                 F.2.2",
  CRclass =      "F.4.1 Mathematical Logic; F.4.1 Computational logic;
                 B.6.1 Design Styles; B.6.1 Combinational logic; F.1.1
                 Models of Computation; F.1.1 Unbounded-action devices;
                 F.1.3 Complexity Classes; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Complexity of proof procedures;
                 F.1.2 Modes of Computation; F.1.2 Alternation and
                 nondeterminism; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Computations on discrete
                 structures",
  descriptor =   "Theory of Computation, MATHEMATICAL LOGIC AND FORMAL
                 LANGUAGES, Mathematical Logic, Computational logic;
                 Hardware, LOGIC DESIGN, Design Styles, Combinational
                 logic; Theory of Computation, COMPUTATION BY ABSTRACT
                 DEVICES, Models of Computation, Unbounded-action
                 devices; Theory of Computation, COMPUTATION BY ABSTRACT
                 DEVICES, Complexity Classes; Theory of Computation,
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY,
                 Nonnumerical Algorithms and Problems, Complexity of
                 proof procedures; Theory of Computation, COMPUTATION BY
                 ABSTRACT DEVICES, Modes of Computation, Alternation and
                 nondeterminism; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Computations on discrete
                 structures",
  fjournal =     "Acta Informatica",
  genterm =      "algorithms; theory",
  guideno =      "1989-03239",
  journal-URL =  "http://www.springerlink.com/content/0001-5903",
  journalabbrev = "Acta Inf.",
  jrldate =      "Feb. 1989",
  subject =      "F. Theory of Computation; F.4 MATHEMATICAL LOGIC AND
                 FORMAL LANGUAGES; B. Hardware; B.6 LOGIC DESIGN; F.
                 Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES; F. Theory of Computation; F.1 COMPUTATION BY
                 ABSTRACT DEVICES; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; F.
                 Theory of Computation; F.1 COMPUTATION BY ABSTRACT
                 DEVICES; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY",
}


bibtype: article
filename: elefunt.bib
label: Birge:1989:SUB
author: John R. Birge and Roger J. Wets
title: Sublinear upper bounds for stochastic programs with recourse
journal: j-MATH-PROG
volume: 43
number: 2
pages: 131--149
month: feb
monthnumber: 2
year: 1989
CODEN: MHPGA4
ISSN: 0025-5610 OR 00255610
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Mathematical Programming
acknowledgement: ack-nhfb
affiliation: Univ. of Michigan, Ann Arbor; Univ. of California, Davis
journalURL: http://link.springer.com/journal/10107
rawauthor: John R. Birge and Roger J. Wets
rawtitle: Sublinear upper bounds for stochastic programs with recourse
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Birge:1989:SUB,
  author =       "John R. Birge and Roger J. Wets",
  title =        "Sublinear upper bounds for stochastic programs with
                 recourse",
  journal =      j-MATH-PROG,
  volume =       "43",
  number =       "2",
  pages =        "131--149",
  month =        feb,
  year =         "1989",
  CODEN =        "MHPGA4",
  ISSN =         "0025-5610",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Michigan, Ann Arbor; Univ. of California,
                 Davis",
  bibno =        "65226",
  catcode =      "G.1.6; G.1.7; G.3; G.1.6; G.1.2",
  CRclass =      "G.1.6 Optimization; G.1.6 Linear programming; G.1.7
                 Ordinary Differential Equations; G.1.7 Convergence and
                 stability; G.3 Probabilistic algorithms (including
                 Monte Carlo); G.1.6 Optimization; G.1.6 Gradient
                 methods; G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization, Linear programming; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Ordinary Differential
                 Equations, Convergence and stability; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Probabilistic
                 algorithms (including Monte Carlo); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Optimization, Gradient
                 methods; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation",
  fjournal =     "Mathematical Programming",
  genterm =      "algorithms; theory; performance",
  guideno =      "1989-09042",
  journal-URL =  "http://link.springer.com/journal/10107",
  journalabbrev = "Math. Program.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1989:MI
author: J. M. Borwein and P. B. Borwein
title: On the Mean Iteration $ (a, b) leftarrow big (frac a + 3b4, frac sqrt ab + b2 big ) $
journal: j-MATH-COMPUT
volume: 53
number: 187
pages: 311--326
month: jul
monthnumber: 7
year: 1989
CODEN: MCMPAF
DOI: https://doi.org/10.2307/2008364
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 30D05 (33A25)
MRnumber: 968148, 90a:30075
MRreviewer: Carl C. Cowen
bibdate: Wed Aug 10 11:09:47 2016
bibtimestamp: 2016.08.10 11:09:47 ???
URL: http://docserver.carma.newcastle.edu.au/1586/
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: C4130 (Interpolation and function approximation)
corpsource: Dept. of Math. Stat. and Comput. Sci., Dalhousie Univ., Halifax, NS, Canada
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: J. M. Borwein and P. B. Borwein
bibsource:
https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib; https://www.math.utah.edu/pub/tex/bib/agm.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib; JSTOR database

keywords:
computation; convergence of numerical methods; converging process; iterative methods; iterative process; limit; mean iteration; nontrivial identifications; quadratically; symbolic; uniformizing parameters

rawtitle:
On the Mean Iteration $ (a, b) \leftarrow \big (\frac {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $

entry:
@Article{Borwein:1989:MI,
  author =       "J. M. Borwein and P. B. Borwein",
  title =        "On the Mean Iteration $ (a, b) \leftarrow \big (\frac
                 {a + 3b}{4}, \frac {\sqrt {ab} + b}{2} \big) $",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "311--326",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  DOI =          "https://doi.org/10.2307/2008364",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "30D05 (33A25)",
  MRnumber =     "968148, 90a:30075",
  MRreviewer =   "Carl C. Cowen",
  bibdate =      "Wed Aug 10 11:09:47 2016",
  bibsource =    "https://www.math.utah.edu/pub/bibnet/authors/b/borwein-jonathan-m.bib;
                 https://www.math.utah.edu/pub/tex/bib/agm.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/mathcomp1980.bib;
                 JSTOR database",
  URL =          "http://docserver.carma.newcastle.edu.au/1586/",
  acknowledgement = ack-nhfb,
  classcodes =   "C4130 (Interpolation and function approximation)",
  corpsource =   "Dept. of Math. Stat. and Comput. Sci., Dalhousie
                 Univ., Halifax, NS, Canada",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "computation; convergence of numerical methods;
                 converging process; iterative methods; iterative
                 process; limit; mean iteration; nontrivial
                 identifications; quadratically; symbolic; uniformizing
                 parameters",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Borwein:1989:RME
author: J. M. Borwein and P. B. Borwein and D. H. Bailey
journal: j-AMER-MATH-MONTHLY
volume: 96
number: 3
pages: 201--219
month: mar
monthnumber: 3
year: 1989
CODEN: AMMYAE
ISSN: 0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)
ISSNL: 0002-9890 OR 00029890
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: American Mathematical Monthly
acknowledgement: ack-nhfb
affiliation: Dalhousie Univ., Halifax; Dalhousie Univ., Halifax
journalURL: https://www.jstor.org/journals/00029890.htm
rawauthor: J. M. Borwein and P. B. Borwein and D. H. Bailey
title:
Ramanujan, modular equations, and approximations to $ pi $ or how to compute one billion digits of $ pi $

subject:
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; I. Computing Methodologies; I.1 ALGEBRAIC MANIPULATION

rawtitle:
{Ramanujan}, modular equations, and approximations to $ \pi $ or how to compute one billion digits of $ \pi $

entry:
@Article{Borwein:1989:RME,
  author =       "J. M. Borwein and P. B. Borwein and D. H. Bailey",
  title =        "{Ramanujan}, modular equations, and approximations to
                 $ \pi $ or how to compute one billion digits of $ \pi
                 $",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "96",
  number =       "3",
  pages =        "201--219",
  month =        mar,
  year =         "1989",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Dalhousie Univ., Halifax; Dalhousie Univ., Halifax",
  bibno =        "65243",
  catcode =      "I.1.2; G.1.2; G.1.8; G.1.4; I.1.3; F.2.1; F.2.1",
  CRclass =      "I.1.2 Algorithms; I.1.2 Algebraic algorithms; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.8 Partial Differential Equations; G.1.8 Elliptic
                 equations; G.1.4 Quadrature and Numerical
                 Differentiation; G.1.4 Multiple quadrature; I.1.3
                 Languages and Systems; F.2.1 Numerical Algorithms and
                 Problems; F.2.1 Computation of transforms; F.2.1
                 Numerical Algorithms and Problems; F.2.1
                 Number-theoretic computations",
  descriptor =   "Computing Methodologies, ALGEBRAIC MANIPULATION,
                 Algorithms, Algebraic algorithms; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Partial Differential
                 Equations, Elliptic equations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Quadrature and Numerical
                 Differentiation, Multiple quadrature; Computing
                 Methodologies, ALGEBRAIC MANIPULATION, Languages and
                 Systems; Theory of Computation, ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY, Numerical Algorithms and
                 Problems, Computation of transforms; Theory of
                 Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Numerical Algorithms and Problems,
                 Number-theoretic computations",
  fjournal =     "American Mathematical Monthly",
  genterm =      "algorithms; theory",
  guideno =      "1989-03459",
  journal-URL =  "https://www.jstor.org/journals/00029890.htm",
  journalabbrev = "Am. Math. Monthly",
  jrldate =      "March 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; I. Computing Methodologies; I.1
                 ALGEBRAIC MANIPULATION",
}


bibtype: article
filename: elefunt.bib
label: Bos:1989:CPR
author: L. Bos
title: A characteristic of points in $ R^2 $ having Lebesgue function of polynomial growth
journal: j-J-APPROX-THEORY
volume: 56
number: 3
pages: 316--329
month: mar
monthnumber: 3
year: 1989
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: L. Bos
rawtitle: A characteristic of points in {$ R^2 $} having {Lebesgue} function of polynomial growth
subject:
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Bos:1989:CPR,
  author =       "L. Bos",
  title =        "A characteristic of points in {$ R^2 $} having
                 {Lebesgue} function of polynomial growth",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "3",
  pages =        "316--329",
  month =        mar,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72254",
  catcode =      "F.2.1; G.1.1; G.1.2; F.2.2; G.1.2; G.1.3",
  CRclass =      "F.2.1 Numerical Algorithms and Problems; F.2.1
                 Computations on matrices; G.1.1 Interpolation; G.1.1
                 Interpolation formulas; G.1.2 Approximation; G.1.2
                 Elementary function approximation; F.2.2 Nonnumerical
                 Algorithms and Problems; F.2.2 Geometrical problems and
                 computations; G.1.2 Approximation; G.1.2 Chebyshev
                 approximation and theory; G.1.3 Numerical Linear
                 Algebra; G.1.3 Sparse and very large systems",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computations on matrices; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Interpolation, Interpolation
                 formulas; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Chebyshev approximation and theory;
                 Mathematics of Computing, NUMERICAL ANALYSIS, Numerical
                 Linear Algebra, Sparse and very large systems",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory",
  guideno =      "1989-07812",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Mar. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: book
filename: elefunt.bib
label: Boyd:1989:CFS
author: John Philip Boyd
title: Chebyshev and Fourier spectral methods
volume: 49
publisher: pub-SV
address: pub-SV:adr
pages: xvi + 798
year: 1989
ISBN: 0-387-51487-2, 3-540-51487-2 OR 0387514872, 3540514872
ISBN13: 978-0-387-51487-1, 978-3-540-51487-9 OR 9780387514871, 9783540514879
LCCN: QA404.5 .B69 1989
bibdate: Sat Feb 17 14:00:30 MST 2024
bibsource: fsz3950.oclc.org:210/WorldCat; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2024.02.17 14:00:30 MST
series: Lecture notes in engineering
acknowledgement: ack-nhfb
rawauthor: John Philip Boyd
rawtitle: {Chebyshev} and {Fourier} spectral methods
subject:
Chebyshev polynomials; Fourier analysis; Spectral theory (Mathematics); Polynyomes de Tchebychev; Analyse de Fourier; Spectre (Mathyematiques); Chebyshev polynomials; Fourier analysis; Spectral theory (Mathematics)

entry:
@Book{Boyd:1989:CFS,
  author =       "John Philip Boyd",
  title =        "{Chebyshev} and {Fourier} spectral methods",
  volume =       "49",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xvi + 798",
  year =         "1989",
  ISBN =         "0-387-51487-2, 3-540-51487-2",
  ISBN-13 =      "978-0-387-51487-1, 978-3-540-51487-9",
  LCCN =         "QA404.5 .B69 1989",
  bibdate =      "Sat Feb 17 14:00:30 MST 2024",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  series =       "Lecture notes in engineering",
  acknowledgement = ack-nhfb,
  subject =      "Chebyshev polynomials; Fourier analysis; Spectral
                 theory (Mathematics); Polyn{\'y}omes de Tchebychev;
                 Analyse de Fourier; Spectre (Math{\'y}ematiques);
                 Chebyshev polynomials; Fourier analysis; Spectral
                 theory (Mathematics)",
}


bibtype: article
filename: elefunt.bib
label: Bronstein:1989:AIE
author: Manuel Bronstein
title: An algorithm for the integration of elementary functions
journal: j-LECT-NOTES-COMP-SCI
volume: 378
pages: 491--497
year: 1989
CODEN: LNCSD9
ISSN: 0302-9743 (print), 1611-3349 (electronic) OR 03029743 (print), 16113349 (electronic)
ISSNL: 0302-9743 OR 03029743
MRclass: 65D30
MRnumber: 91a:65050
bibdate: Sat Jan 11 17:44:01 MST 1997
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1997.01.11 17:44:01 MST
note: EUROCAL '87 (Leipzig, 1987).
fjournal: Lecture Notes in Computer Science
acknowledgement: ack-nhfb
journalURL: http://link.springer.com/bookseries/558
rawauthor: Manuel Bronstein
rawnote: EUROCAL '87 (Leipzig, 1987).
rawtitle: An algorithm for the integration of elementary functions
entry:
@Article{Bronstein:1989:AIE,
  author =       "Manuel Bronstein",
  title =        "An algorithm for the integration of elementary
                 functions",
  journal =      j-LECT-NOTES-COMP-SCI,
  volume =       "378",
  pages =        "491--497",
  year =         "1989",
  CODEN =        "LNCSD9",
  ISSN =         "0302-9743 (print), 1611-3349 (electronic)",
  ISSN-L =       "0302-9743",
  MRclass =      "65D30",
  MRnumber =     "91a:65050",
  bibdate =      "Sat Jan 11 17:44:01 MST 1997",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  note =         "EUROCAL '87 (Leipzig, 1987).",
  acknowledgement = ack-nhfb,
  fjournal =     "Lecture Notes in Computer Science",
  journal-URL =  "http://link.springer.com/bookseries/558",
}


bibtype: inproceedings
filename: elefunt.bib
label: Bronstein:1989:SRE
author: M. Bronstein
title: Simplification of real elementary functions
crossref: ACM:1989:PAI
pages: 207--211
year: 1989
bibdate: Tue Sep 17 06:46:18 MDT 1996
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/issac.bib
bibtimestamp: 1996.09.17 06:46:18 MDT
keywords: Computer algebra system; Real elementary functions; Real structure theorem; Scratchpad
acknowledgement: ack-nhfb
affiliation: IBM Res. Div., T. J. Watson Res. Center, Yorktown Heights, NY, USA
thesaurus: Functions; Mathematics computing; Symbol manipulation
rawauthor: M. Bronstein
rawtitle: Simplification of real elementary functions
abstract:
The author describes an algorithm, based on Risch's real structure theorem, that determines explicitly all the algebraic relations among a given set of real elementary functions. He provides examples from its implementation in the Scratchpad computer algebra system that illustrate the advantages over the use of complex logarithms and exponentials.

rawabstract:
The author describes an algorithm, based on Risch's real structure theorem, that determines explicitly all the algebraic relations among a given set of real elementary functions. He provides examples from its implementation in the Scratchpad computer algebra system that illustrate the advantages over the use of complex logarithms and exponentials.

entry:
@InProceedings{Bronstein:1989:SRE,
  author =       "M. Bronstein",
  title =        "Simplification of real elementary functions",
  crossref =     "ACM:1989:PAI",
  pages =        "207--211",
  year =         "1989",
  bibdate =      "Tue Sep 17 06:46:18 MDT 1996",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/issac.bib",
  abstract =     "The author describes an algorithm, based on Risch's
                 real structure theorem, that determines explicitly all
                 the algebraic relations among a given set of real
                 elementary functions. He provides examples from its
                 implementation in the Scratchpad computer algebra
                 system that illustrate the advantages over the use of
                 complex logarithms and exponentials.",
  acknowledgement = ack-nhfb,
  affiliation =  "IBM Res. Div., T. J. Watson Res. Center, Yorktown
                 Heights, NY, USA",
  classification = "C1110 (Algebra); C7310 (Mathematics)",
  keywords =     "Computer algebra system; Real elementary functions;
                 Real structure theorem; Scratchpad",
  thesaurus =    "Functions; Mathematics computing; Symbol
                 manipulation",
}


bibtype: article
filename: elefunt.bib
label: Cao:1989:ABS
author: J.-D. Cao and H. H. Gonska
title: Approximation by Boolean sums of positive linear operators. II. Gopengauz-type estimates
journal: j-J-APPROX-THEORY
volume: 57
number: 1
pages: 77--89
month: apr
monthnumber: 4
year: 1989
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: J.-D. Cao and H. H. Gonska
rawtitle: Approximation by {Boolean} sums of positive linear operators. {II}. {Gopengauz}-type estimates
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.2 DISCRETE MATHEMATICS

entry:
@Article{Cao:1989:ABS,
  author =       "J.-D. Cao and H. H. Gonska",
  title =        "Approximation by {Boolean} sums of positive linear
                 operators. {II}. {Gopengauz}-type estimates",
  journal =      j-J-APPROX-THEORY,
  volume =       "57",
  number =       "1",
  pages =        "77--89",
  month =        apr,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72266",
  catcode =      "G.1.2; G.1.2; G.3; G.2.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Nonlinear approximation;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.3 Statistical computing; G.2.1
                 Combinatorics; G.2.1 Generating functions",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Nonlinear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing; Mathematics of Computing, DISCRETE
                 MATHEMATICS, Combinatorics, Generating functions",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-07823",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "April 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.2 DISCRETE
                 MATHEMATICS",
}


bibtype: article
filename: elefunt.bib
label: Carlson:1989:TEI
author: B. C. Carlson
title: A Table of Elliptic Integrals: Cubic Cases
journal: j-MATH-COMPUT
volume: 53
number: 187
pages: 327--333
month: jul
monthnumber: 7
year: 1989
CODEN: MCMPAF
ISSN: 0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)
ISSNL: 0025-5718 OR 00255718
MRclass: 65A05 (33A25 65D20)
MRnumber: 89m:65009
bibdate: Tue Oct 13 08:06:19 MDT 1998
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib; JSTOR database
bibtimestamp: 1998.10.13 08:06:19 MDT
fjournal: Mathematics of Computation
acknowledgement: ack-nhfb
classcodes: C4180 (Integral equations); C1120 (Analysis)
corpsource: Dept. of Math., Iowa State Univ., Ames, IA, USA
journalURL: http://www.ams.org/mcom/
treatment: T Theoretical or Mathematical
rawauthor: B. C. Carlson
rawtitle: A Table of Elliptic Integrals: Cubic Cases
keywords:
cubic polynomial; elliptic; elliptic integral; first kind; Fortran codes; functions; integral equations; integrals; integration interval; R-; rational integrands; real zeros; second kind; square root; table; third kind

entry:
@Article{Carlson:1989:TEI,
  author =       "B. C. Carlson",
  title =        "A Table of Elliptic Integrals: Cubic Cases",
  journal =      j-MATH-COMPUT,
  volume =       "53",
  number =       "187",
  pages =        "327--333",
  month =        jul,
  year =         "1989",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65A05 (33A25 65D20)",
  MRnumber =     "89m:65009",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  classcodes =   "C4180 (Integral equations); C1120 (Analysis)",
  corpsource =   "Dept. of Math., Iowa State Univ., Ames, IA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "cubic polynomial; elliptic; elliptic integral; first
                 kind; Fortran codes; functions; integral equations;
                 integrals; integration interval; R-; rational
                 integrands; real zeros; second kind; square root;
                 table; third kind",
  treatment =    "T Theoretical or Mathematical",
}


bibtype: article
filename: elefunt.bib
label: Chen:1989:EMB
author: X. R. Chen and P. R. Krishnaiah and W. W. Liang
title: Estimation of multivariate binary density using orthogonal functions
journal: j-J-MULTIVAR-ANAL
volume: 31
number: 2
pages: 178--186
month: nov
monthnumber: 11
year: 1989
CODEN: JMVAAI
ISSN: 0047-259x (print), 1095-7243 (electronic) OR 0047259x (print), 10957243 (electronic)
ISSNL: 0047-259X OR 0047259X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Multivariate Analysis
acknowledgement: ack-nhfb
rawauthor: X. R. Chen and P. R. Krishnaiah and W. W. Liang
rawtitle: Estimation of multivariate binary density using orthogonal functions
subject:
D. Software; D.3 PROGRAMMING LANGUAGES; G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

affiliation:
Univ. of Pittsburgh, Pittsburgh, PA; Univ. of Pittsburgh, Pittsburgh, PA; Univ. of Pittsburgh, Pittsburgh, PA

entry:
@Article{Chen:1989:EMB,
  author =       "X. R. Chen and P. R. Krishnaiah and W. W. Liang",
  title =        "Estimation of multivariate binary density using
                 orthogonal functions",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "31",
  number =       "2",
  pages =        "178--186",
  month =        nov,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259x (print), 1095-7243 (electronic)",
  ISSN-L =       "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of Pittsburgh, Pittsburgh, PA; Univ. of
                 Pittsburgh, Pittsburgh, PA; Univ. of Pittsburgh,
                 Pittsburgh, PA",
  bibno =        "69313",
  catcode =      "D.3.3; G.3; G.1.3; G.1.2",
  CRclass =      "D.3.3 Language Constructs; D.3.3 Procedures,
                 functions, and subroutines; G.3 Statistical computing;
                 G.1.3 Numerical Linear Algebra; G.1.3 Linear systems
                 (direct and iterative methods); G.1.2 Approximation;
                 G.1.2 Elementary function approximation",
  descriptor =   "Software, PROGRAMMING LANGUAGES, Language Constructs,
                 Procedures, functions, and subroutines; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Numerical Linear Algebra, Linear systems
                 (direct and iterative methods); Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  fjournal =     "Journal of Multivariate Analysis",
  genterm =      "algorithms; theory; verification",
  guideno =      "1989-08483",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Nov. 1989",
  subject =      "D. Software; D.3 PROGRAMMING LANGUAGES; G. Mathematics
                 of Computing; G.3 PROBABILITY AND STATISTICS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Chen:1989:FCR
author: S.-G. Chen and P. Y. Hsieh
title: Fast computation of the $ N $ th root
journal: j-COMPUT-MATH-APPL
volume: 17
number: 10
pages: 1423--1427
year: 1989
CODEN: CMAPDK
DOI: https://doi.org/10.1016/0898-1221(89)90024-2
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Thu Dec 29 08:01:37 2011
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2011.12.29 08:01:37 ???
URL: http://www.sciencedirect.com/science/article/pii/0898122189900242
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/08981221
rawauthor: S.-G. Chen and P. Y. Hsieh
rawtitle: Fast computation of the $ {N} $ th root
remark:
From the abstract: ``A new class of iterative methods for computing a differentiable function is proposed, which is based on Pade approximation to Taylor's series of the function. It leads to a faster algorithm than Newton's method for $ x^1 / N $ and a different interpretation of Newton's method.''

entry:
@Article{Chen:1989:FCR,
  author =       "S.-G. Chen and P. Y. Hsieh",
  title =        "Fast computation of the $ {N} $ th root",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "17",
  number =       "10",
  pages =        "1423--1427",
  month =        "????",
  year =         "1989",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(89)90024-2",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Thu Dec 29 08:01:37 2011",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122189900242",
  acknowledgement = ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  remark =       "From the abstract: ``A new class of iterative methods
                 for computing a differentiable function is proposed,
                 which is based on Pad{\'e} approximation to Taylor's
                 series of the function. It leads to a faster algorithm
                 than Newton's method for $ x^{1 / N} $ and a different
                 interpretation of Newton's method.''",
}


bibtype: article
filename: elefunt.bib
label: Chen:1989:FCTa
author: S.-G. Chen and P. Y. Hsieh
title: Fast computation of the $N$-th root
journal: j-COMPUT-MATH-APPL
volume: 17
number: 10
pages: 1423--1427
year: 1989
CODEN: CMAPDK
DOI: https://doi.org/10.1016/0898-1221(89)90024-2
ISSN: 0898-1221 (print), 1873-7668 (electronic) OR 08981221 (print), 18737668 (electronic)
ISSNL: 0898-1221 OR 08981221
bibdate: Wed Mar 1 19:01:11 MST 2017
bibtimestamp: 2017.03.01 19:01:11 MST
URL: http://www.sciencedirect.com/science/article/pii/0898122189900242
fjournal: Computers and Mathematics with Applications
acknowledgement: ack-nj
journalURL: http://www.sciencedirect.com/science/journal/08981221
rawauthor: S.-G. Chen and P. Y. Hsieh
rawtitle: Fast computation of the {$N$}-th root
bibsource:
ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib; https://www.math.utah.edu/pub/tex/bib/elefunt.bib; https://www.math.utah.edu/pub/tex/bib/fparith.bib

remark:
From the abstract: ``A new class of iterative methods for computing a differentiable function is proposed, which is based on Pade approximation to Taylor's series of the function. It leads to a faster algorithm than Newton's method for $ x^1 / N $ and a different interpretation of Newton's method.''

entry:
@Article{Chen:1989:FCTa,
  author =       "S.-G. Chen and P. Y. Hsieh",
  title =        "Fast computation of the {$N$}-th root",
  journal =      j-COMPUT-MATH-APPL,
  volume =       "17",
  number =       "10",
  pages =        "1423--1427",
  month =        "????",
  year =         "1989",
  CODEN =        "CMAPDK",
  DOI =          "https://doi.org/10.1016/0898-1221(89)90024-2",
  ISSN =         "0898-1221 (print), 1873-7668 (electronic)",
  ISSN-L =       "0898-1221",
  bibdate =      "Wed Mar 1 19:01:11 MST 2017",
  bibsource =    "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip;
                 https://www.math.utah.edu/pub/tex/bib/computmathappl1980.bib;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0898122189900242",
  acknowledgement = ack-nj # " and " # ack-nhfb,
  fjournal =     "Computers and Mathematics with Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/08981221",
  remark =       "From the abstract: ``A new class of iterative methods
                 for computing a differentiable function is proposed,
                 which is based on Pad{\'e} approximation to Taylor's
                 series of the function. It leads to a faster algorithm
                 than Newton's method for $ x^{1 / N} $ and a different
                 interpretation of Newton's method.''",
}


bibtype: article
filename: elefunt.bib
label: Corliss:1989:IIV
author: George Corliss and Gary Krenz
editor: L. Gatteschi
title: Indefinite Integration with Validation
journal: j-TOMS
volume: 15
number: 4
pages: 375--393
month: dec
monthnumber: 12
year: 1989
CODEN: ACMSCU
ISSN: 0098-3500 (print), 1557-7295 (electronic) OR 00983500 (print), 15577295 (electronic)
ISSNL: 0098-3500 OR 00983500
MRclass: 65D30 (65-04)
MRnumber: 1 062 497
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: ACM Transactions on Mathematical Software (TOMS)
keywords: algorithms; theory
acknowledgement: ack-nhfb
journalURL: https://dl.acm.org/loi/toms
rawauthor: George Corliss and Gary Krenz
raweditor: L. Gatteschi
rawtitle: Indefinite Integration with Validation
URL:
http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/; http://www.acm.org/pubs/toc/Abstracts/toms/76915.html

subject:
bf G.1.4: Mathematics of Computing, NUMERICAL ANALYSIS, Quadrature and Numerical Differentiation. bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Elementary function approximation. bf G.1.2: Mathematics of Computing, NUMERICAL ANALYSIS, Approximation, Chebyshev approximation and theory.

entry:
@Article{Corliss:1989:IIV,
  author =       "George Corliss and Gary Krenz",
  editor =       "L. Gatteschi",
  title =        "Indefinite Integration with Validation",
  journal =      j-TOMS,
  volume =       "15",
  number =       "4",
  pages =        "375--393",
  month =        dec,
  year =         "1989",
  CODEN =        "ACMSCU",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65D30 (65-04)",
  MRnumber =     "1 062 497",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  URL =          "http://www.acm.org/pubs/citations/journals/toms/1989-15-4/p375-corliss/;
                 http://www.acm.org/pubs/toc/Abstracts/toms/76915.html",
  acknowledgement = ack-nhfb,
  bibno =        "393",
  content =      "ALGORITHMS; THEORY",
  CRclass =      "G.1.4 Quadrature and Numerical Differentiation; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.2 Approximation; G.1.2 Chebyshev approximation and
                 theory",
  CRnumber =     "1989-03199",
  descriptor =   "mathematics of computing, numerical analysis,
                 quadrature and numerical differentiation; mathematics
                 of computing, numerical analysis, approximation,
                 elementary function approximation; mathematics of
                 computing, numerical analysis, approximation, Chebyshev
                 approximation and theory",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  fortitle =     "ACM Trans. Math. Softw.",
  guideno =      "4",
  journal-URL =  "https://dl.acm.org/loi/toms",
  keywords =     "algorithms; theory",
  review =       "ACM CR 9007-0598",
  subject =      "{\bf G.1.4}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Quadrature and Numerical Differentiation.
                 {\bf G.1.2}: Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation. {\bf G.1.2}: Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Chebyshev
                 approximation and theory.",
  waffil =       "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Critchfield:1989:CEF
author: Charles L. Critchfield
title: Computation of elliptic functions
journal: j-J-MATH-PHYS
volume: 30
number: 2
pages: 295--297
month: feb
monthnumber: 2
year: 1989
CODEN: JMAPAQ
DOI: https://doi.org/10.1063/1.528444
ISSNL: 0022-2488 OR 00222488
MRclass: 33A25 (65D20)
MRnumber: 89k:33004
MRreviewer: H. Hochstadt
bibdate: Mon Oct 31 11:58:32 MDT 2011
bibtimestamp: 2011.10.31 11:58:32 MDT
URL: http://jmp.aip.org/resource/1/jmapaq/v30/i2/p295_s1
fjournal: Journal of Mathematical Physics
acknowledgement: ack-nhfb
journalURL: http://jmp.aip.org/
rawauthor: Charles L. Critchfield
rawtitle: Computation of elliptic functions
entry:
@Article{Critchfield:1989:CEF,
  author =       "Charles L. Critchfield",
  title =        "Computation of elliptic functions",
  journal =      j-J-MATH-PHYS,
  volume =       "30",
  number =       "2",
  pages =        "295--297",
  month =        feb,
  year =         "1989",
  CODEN =        "JMAPAQ",
  DOI =          "https://doi.org/10.1063/1.528444",
  ISSN =         "0022-2488 (print), 1089-7658 (electronic), 1527-2427",
  ISSN-L =       "0022-2488",
  MRclass =      "33A25 (65D20)",
  MRnumber =     "89k:33004",
  MRreviewer =   "H. Hochstadt",
  bibdate =      "Mon Oct 31 11:58:32 MDT 2011",
  bibsource =    "http://jmp.aip.org/;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib",
  URL =          "http://jmp.aip.org/resource/1/jmapaq/v30/i2/p295_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Mathematical Physics",
  journal-URL =  "http://jmp.aip.org/",
  pagecount =    "3",
}


bibtype: misc
filename: elefunt.bib
label: Darley:1989:FPI
author: H. M. Darley and others
title: Floating Point / Integer Processor with Divide and Square Root Functions
pages: 295--297
year: 1989
bibdate: Thu Apr 2 08:38:35 1998
bibtimestamp: 1998.04.02 08:38:35 ???
note: U.S. Patent No. 4,878,190.
acknowledgement: ack-sfo
rawauthor: H. M. Darley and others
rawnote: U.S. Patent No. 4,878,190.
rawtitle: Floating Point\slash Integer Processor with Divide and Square Root Functions
entry:
@Misc{Darley:1989:FPI,
  author =       "H. M. Darley and others",
  title =        "Floating Point\slash Integer Processor with Divide and
                 Square Root Functions",
  year =         "1989",
  bibdate =      "Thu Apr 2 08:38:35 1998",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib;
                 https://www.math.utah.edu/pub/tex/bib/fparith.bib",
  note =         "U.S. Patent No. 4,878,190.",
  acknowledgement = ack-sfo # " and " # ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Dehling:1989:FLI
author: Herold Dehling
journal: j-J-MULTIVAR-ANAL
volume: 28
number: 2
pages: 177--189
month: feb
monthnumber: 2
year: 1989
CODEN: JMVAAI
ISSN: 0047-259x (print), 1095-7243 (electronic) OR 0047259x (print), 10957243 (electronic)
ISSNL: 0047-259X OR 0047259X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Multivariate Analysis
acknowledgement: ack-nhfb
affiliation: Univ. of Gottingen, Gottingen, FRG
rawauthor: Herold Dehling
title:
The functional law of the iterated logarithm for von Mises functionals and multiple Wiener integrals

subject:
G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

rawtitle:
The functional law of the iterated logarithm for {von Mises} functionals and multiple {Wiener} integrals

entry:
@Article{Dehling:1989:FLI,
  author =       "Herold Dehling",
  title =        "The functional law of the iterated logarithm for {von
                 Mises} functionals and multiple {Wiener} integrals",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "2",
  pages =        "177--189",
  month =        feb,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259x (print), 1095-7243 (electronic)",
  ISSN-L =       "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. of G{\"o}ttingen, G{\"o}ttingen, FRG",
  bibno =        "64336",
  catcode =      "G.3; G.1.9; G.1.2",
  CRclass =      "G.3 Statistical computing; G.1.9 Integral Equations;
                 G.1.9 Integro-differential equations; G.1.2
                 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Integral Equations,
                 Integro-differential equations; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation",
  fjournal =     "Journal of Multivariate Analysis",
  genterm =      "algorithms; theory; measurement",
  guideno =      "1989-08462",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "February 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Demirbas:1989:MSE
author: K. Demirbas
title: Multidimensional state estimation using stacks for dynamic systems with interference
journal: j-AUTOMATICA
volume: 25
number: 4
pages: 617--621
month: jul
monthnumber: 7
year: 1989
CODEN: ATCAA9
ISSN: 0005-1098 (print), 1873-2836 (electronic) OR 00051098 (print), 18732836 (electronic)
ISSNL: 0005-1098 OR 00051098
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Automatica: the journal of IFAC, the International Federation of Automatic Control
acknowledgement: ack-nhfb
rawauthor: K. Demirbas
rawtitle: Multidimensional state estimation using stacks for dynamic systems with interference
subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; H. Information Systems; H.1 MODELS AND PRINCIPLES

entry:
@Article{Demirbas:1989:MSE,
  author =       "K. Demirbas",
  title =        "Multidimensional state estimation using stacks for
                 dynamic systems with interference",
  journal =      j-AUTOMATICA,
  volume =       "25",
  number =       "4",
  pages =        "617--621",
  month =        jul,
  year =         "1989",
  CODEN =        "ATCAA9",
  ISSN =         "0005-1098 (print), 1873-2836 (electronic)",
  ISSN-L =       "0005-1098",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72661",
  catcode =      "G.1.2; G.1.2; G.1.3; G.1.5; H.1.1",
  CRclass =      "G.1.2 Approximation; G.1.2 Elementary function
                 approximation; G.1.2 Approximation; G.1.2 Linear
                 approximation; G.1.3 Numerical Linear Algebra; G.1.3
                 Linear systems (direct and iterative methods); G.1.5
                 Roots of Nonlinear Equations; H.1.1 Systems and
                 Information Theory; H.1.1 Information theory",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Numerical Linear
                 Algebra, Linear systems (direct and iterative methods);
                 Mathematics of Computing, NUMERICAL ANALYSIS, Roots of
                 Nonlinear Equations; Information Systems, MODELS AND
                 PRINCIPLES, Systems and Information Theory, Information
                 theory",
  fjournal =     "Automatica: the journal of IFAC, the International
                 Federation of Automatic Control",
  genterm =      "algorithms; theory",
  guideno =      "1989-03952",
  jrldate =      "July 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS; H.
                 Information Systems; H.1 MODELS AND PRINCIPLES",
}


bibtype: techreport
filename: elefunt.bib
label: Dritz:1989:RPS
author: K. W. Dritz
title: Rationale for the Proposed Standard for a Generic Package of Elementary Functions for Ada
type: Report
number: ANL-89/2 Rev. 1
institution: Argonne National Laboratory, Mathematics and Computer Science Division
address: Argonne, IL, USA
month: oct
monthnumber: 10
year: 1989
bibdate: Thu Sep 01 12:08:24 1994
bibsource: garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt; https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 1994.09.01 12:08:24 ???
acknowledgement: ack-nj
rawauthor: K. W. Dritz
rawtitle: Rationale for the Proposed Standard for a Generic Package of Elementary Functions for {Ada}
entry:
@TechReport{Dritz:1989:RPS,
  author =       "K. W. Dritz",
  title =        "Rationale for the Proposed Standard for a Generic
                 Package of Elementary Functions for {Ada}",
  type =         "Report",
  number =       "ANL-89/2 Rev. 1",
  institution =  "Argonne National Laboratory, Mathematics and Computer
                 Science Division",
  address =      "Argonne, IL, USA",
  pages =        "????",
  month =        oct,
  year =         "1989",
  bibdate =      "Thu Sep 01 12:08:24 1994",
  bibsource =    "garbo.uwasa.fi:/pc/doc-soft/fpbiblio.txt;
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nj,
}


bibtype: inproceedings
filename: elefunt.bib
label: Duprat:1989:SRA
author: J. Duprat and Y. Herreros and J.-M. Muller
title: Some results about on-line computation of functions
crossref: Ercegovac:1989:PSC
pages: 112--118
year: 1989
bibdate: Sat Nov 27 14:19:10 MST 2004
bibsource: https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2004.11.27 14:19:10 MST
acknowledgement: ack-nhfb
rawauthor: J. Duprat and Y. Herreros and J.-M. Muller
rawtitle: Some results about on-line computation of functions
entry:
@InProceedings{Duprat:1989:SRA,
  author =       "J. Duprat and Y. Herreros and J.-M. Muller",
  title =        "Some results about on-line computation of functions",
  crossref =     "Ercegovac:1989:PSC",
  pages =        "112--118",
  year =         "1989",
  bibdate =      "Sat Nov 27 14:19:10 MST 2004",
  bibsource =    "https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
}


bibtype: article
filename: elefunt.bib
label: Dyn:1989:PEB
author: N. Dyn and A. Ron
title: Periodic exponential box splines on a three direction mesh
journal: j-J-APPROX-THEORY
volume: 56
number: 3
pages: 287--296
month: mar
monthnumber: 3
year: 1989
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: N. Dyn and A. Ron
rawtitle: Periodic exponential box splines on a three direction mesh
subject:
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G.2 DISCRETE MATHEMATICS; G.3 PROBABILITY AND STATISTICS

entry:
@Article{Dyn:1989:PEB,
  author =       "N. Dyn and A. Ron",
  title =        "Periodic exponential box splines on a three direction
                 mesh",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "3",
  pages =        "287--296",
  month =        mar,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72251",
  catcode =      "G.1.2; F.2.2; G.1.2; G.1.2; G.1.2; G.2.1; G.3",
  CRclass =      "G.1.2 Approximation; G.1.2 Spline and piecewise
                 polynomial approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations; G.1.2 Approximation; G.1.2 Chebyshev
                 approximation and theory; G.1.2 Approximation; G.1.2
                 Elementary function approximation; G.1.2 Approximation;
                 G.1.2 Linear approximation; G.2.1 Combinatorics; G.2.1
                 Recurrences and difference equations; G.3 Statistical
                 computing",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Spline and piecewise polynomial
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Chebyshev approximation and
                 theory; Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Elementary function approximation;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Linear approximation; Mathematics of
                 Computing, DISCRETE MATHEMATICS, Combinatorics,
                 Recurrences and difference equations; Mathematics of
                 Computing, PROBABILITY AND STATISTICS, Statistical
                 computing",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory; design",
  guideno =      "1989-07809",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Mar. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS; G.2 DISCRETE MATHEMATICS; G.3
                 PROBABILITY AND STATISTICS",
}


bibtype: article
filename: elefunt.bib
label: Eberlein:1989:SAC
author: E. Eberlein
title: Strong approximation of continuous time stochastic processes
journal: j-J-MULTIVAR-ANAL
volume: 31
number: 2
pages: 220--235
month: nov
monthnumber: 11
year: 1989
CODEN: JMVAAI
ISSN: 0047-259x (print), 1095-7243 (electronic) OR 0047259x (print), 10957243 (electronic)
ISSNL: 0047-259X OR 0047259X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Multivariate Analysis
acknowledgement: ack-nhfb
affiliation: Univ. Freiburg, Freiburg, W. Germany
rawauthor: E. Eberlein
rawtitle: Strong approximation of continuous time stochastic processes
subject:
D. Software; D.4 OPERATING SYSTEMS; F. Theory of Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Eberlein:1989:SAC,
  author =       "E. Eberlein",
  title =        "Strong approximation of continuous time stochastic
                 processes",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "31",
  number =       "2",
  pages =        "220--235",
  month =        nov,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259x (print), 1095-7243 (electronic)",
  ISSN-L =       "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. Freiburg, Freiburg, W. Germany",
  bibno =        "69316",
  catcode =      "D.4.8; F.1.2; G.1.2",
  CRclass =      "D.4.8 Performance; D.4.8 Stochastic analysis; F.1.2
                 Modes of Computation; F.1.2 Probabilistic computation;
                 G.1.2 Approximation; G.1.2 Elementary function
                 approximation",
  descriptor =   "Software, OPERATING SYSTEMS, Performance, Stochastic
                 analysis; Theory of Computation, COMPUTATION BY
                 ABSTRACT DEVICES, Modes of Computation, Probabilistic
                 computation; Mathematics of Computing, NUMERICAL
                 ANALYSIS, Approximation, Elementary function
                 approximation",
  fjournal =     "Journal of Multivariate Analysis",
  genterm =      "algorithms; performance; theory",
  guideno =      "1989-08486",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Nov. 1989",
  subject =      "D. Software; D.4 OPERATING SYSTEMS; F. Theory of
                 Computation; F.1 COMPUTATION BY ABSTRACT DEVICES; G.
                 Mathematics of Computing; G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Egger:1989:PAC
author: A. Egger and R. Huotari
title: The Polya algorithm on convex sets
journal: j-J-APPROX-THEORY
volume: 56
number: 2
pages: 212--216
month: feb
monthnumber: 2
year: 1989
CODEN: JAXTAZ
ISSN: 0021-9045 (print), 1096-0430 (electronic) OR 00219045 (print), 10960430 (electronic)
ISSNL: 0021-9045 OR 00219045
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Approximation Theory
acknowledgement: ack-nhfb
journalURL: http://www.sciencedirect.com/science/journal/00219045
rawauthor: A. Egger and R. Huotari
rawtitle: The {Polya} algorithm on convex sets
subject:
F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS

entry:
@Article{Egger:1989:PAC,
  author =       "A. Egger and R. Huotari",
  title =        "The {Polya} algorithm on convex sets",
  journal =      j-J-APPROX-THEORY,
  volume =       "56",
  number =       "2",
  pages =        "212--216",
  month =        feb,
  year =         "1989",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "72242",
  catcode =      "F.2.2; F.2.2; G.1.2; G.1.2; G.1.5",
  CRclass =      "F.2.2 Nonnumerical Algorithms and Problems; F.2.2
                 Geometrical problems and computations; F.2.2
                 Nonnumerical Algorithms and Problems; F.2.2
                 Computations on discrete structures; G.1.2
                 Approximation; G.1.2 Elementary function approximation;
                 G.1.2 Approximation; G.1.2 Minimax approximation and
                 algorithms; G.1.5 Roots of Nonlinear Equations; G.1.5
                 Convergence",
  descriptor =   "Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Nonnumerical Algorithms and
                 Problems, Geometrical problems and computations; Theory
                 of Computation, ANALYSIS OF ALGORITHMS AND PROBLEM
                 COMPLEXITY, Nonnumerical Algorithms and Problems,
                 Computations on discrete structures; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation,
                 Elementary function approximation; Mathematics of
                 Computing, NUMERICAL ANALYSIS, Approximation, Minimax
                 approximation and algorithms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Roots of Nonlinear Equations,
                 Convergence",
  fjournal =     "Journal of Approximation Theory",
  genterm =      "algorithms; theory",
  guideno =      "1989-07801",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  journalabbrev = "J. Approx. Theory",
  jrldate =      "Feb. 1989",
  subject =      "F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS
                 AND PROBLEM COMPLEXITY; G. Mathematics of Computing;
                 G.1 NUMERICAL ANALYSIS",
}


bibtype: article
filename: elefunt.bib
label: Ehrenmark:1989:ONF
author: Ulf T. Ehrenmark
journal: j-SIAM-J-APPL-MATH
volume: 49
number: 3
pages: 799--815
month: jun
monthnumber: 6
year: 1989
CODEN: SMJMAP
ISSN: 0036-1399 (print), 1095-712X (electronic) OR 00361399 (print), 1095712X (electronic)
ISSNL: 0036-1399 OR 00361399
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: SIAM Journal on Applied Mathematics
acknowledgement: ack-nhfb
journalURL: http://epubs.siam.org/siap
rawauthor: Ulf T. Ehrenmark
title:
Overconvergence of the near-field expansion for linearized waves normally incident on a sloping beach

subject:
G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

rawtitle:
Overconvergence of the near-field expansion for linearized waves normally incident on a sloping beach

entry:
@Article{Ehrenmark:1989:ONF,
  author =       "Ulf T. Ehrenmark",
  title =        "Overconvergence of the near-field expansion for
                 linearized waves normally incident on a sloping beach",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "49",
  number =       "3",
  pages =        "799--815",
  month =        jun,
  year =         "1989",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  bibno =        "64945",
  catcode =      "G.1.7; G.1.2; F.2.1; G.1.2; F.2.2",
  CRclass =      "G.1.7 Ordinary Differential Equations; G.1.7
                 Convergence and stability; G.1.2 Approximation; G.1.2
                 Minimax approximation and algorithms; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms; G.1.2 Approximation; G.1.2 Elementary
                 function approximation; F.2.2 Nonnumerical Algorithms
                 and Problems; F.2.2 Geometrical problems and
                 computations",
  descriptor =   "Mathematics of Computing, NUMERICAL ANALYSIS, Ordinary
                 Differential Equations, Convergence and stability;
                 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Minimax approximation and algorithms;
                 Theory of Computation, ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY, Numerical Algorithms and Problems,
                 Computation of transforms; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Nonnumerical
                 Algorithms and Problems, Geometrical problems and
                 computations",
  fjournal =     "SIAM Journal on Applied Mathematics",
  genterm =      "algorithms; theory; experimentation",
  guideno =      "1989-09714",
  journal-URL =  "http://epubs.siam.org/siap",
  journalabbrev = "SIAM J. Appl. Math.",
  jrldate =      "June 1989",
  subject =      "G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS;
                 G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F.
                 Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND
                 PROBLEM COMPLEXITY; G. Mathematics of Computing; G.1
                 NUMERICAL ANALYSIS; F. Theory of Computation; F.2
                 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY",
}


bibtype: article
filename: elefunt.bib
label: Einmahl:1989:ERK
author: U. Einmahl
title: Extensions of results of Komlos, Major, and Tusnady to the multivariate case
journal: j-J-MULTIVAR-ANAL
volume: 28
number: 1
pages: 20--68
month: jan
monthnumber: 1
year: 1989
CODEN: JMVAAI
ISSN: 0047-259x (print), 1095-7243 (electronic) OR 0047259x (print), 10957243 (electronic)
ISSNL: 0047-259X OR 0047259X
bibdate: Fri Nov 8 18:01:57 MST 2002
bibsource: ACM Computing Archive CD-ROM database (1991); https://www.math.utah.edu/pub/tex/bib/elefunt.bib
bibtimestamp: 2002.11.08 18:01:57 MST
fjournal: Journal of Multivariate Analysis
acknowledgement: ack-nhfb
affiliation: Univ. zu Koln, West Germany
rawauthor: U. Einmahl
rawtitle: Extensions of results of {Komlos}, {Major}, and {Tusnady} to the multivariate case
subject:
G. Mathematics of Computing; G.3 PROBABILITY AND STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY

entry:
@Article{Einmahl:1989:ERK,
  author =       "U. Einmahl",
  title =        "Extensions of results of {Komlos}, {Major}, and
                 {Tusnady} to the multivariate case",
  journal =      j-J-MULTIVAR-ANAL,
  volume =       "28",
  number =       "1",
  pages =        "20--68",
  month =        jan,
  year =         "1989",
  CODEN =        "JMVAAI",
  ISSN =         "0047-259x (print), 1095-7243 (electronic)",
  ISSN-L =       "0047-259X",
  bibdate =      "Fri Nov 8 18:01:57 MST 2002",
  bibsource =    "ACM Computing Archive CD-ROM database (1991);
                 https://www.math.utah.edu/pub/tex/bib/elefunt.bib",
  acknowledgement = ack-nhfb,
  affiliation =  "Univ. zu Koln, West Germany",
  bibno =        "66700",
  catcode =      "G.3; G.1.2; F.2.1",
  CRclass =      "G.3 Statistical computing; G.1.2 Approximation; G.1.2
                 Elementary function approximation; F.2.1 Numerical
                 Algorithms and Problems; F.2.1 Computation of
                 transforms",
  descriptor =   "Mathematics of Computing, PROBABILITY AND STATISTICS,
                 Statistical computing; Mathematics of Computing,
                 NUMERICAL ANALYSIS, Approximation, Elementary function
                 approximation; Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computation of transforms",
  fjournal =     "Journal of Multivariate Analysis",
  genterm =      "algorithms; theory",
  guideno =      "1989-08456",
  journalabbrev = "J. Multivariate Anal.",
  jrldate =      "Jan. 1989",
  subject =      "G. Mathematics of Computing; G.3 PROBABILITY AND
                 STATISTICS; G. Mathematics of Computing; G.1 NUMERICAL
                 ANALYSIS; F. Theory of Computation; F.2 ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY",
}


