__Function:__gsl_complex**gsl_complex_sqrt***(gsl_complex*`z`)-
This function returns the square root of the complex number
`z`, @math{\sqrt z}. The branch cut is the negative real axis. The result always lies in the right half of the complex plane.

__Function:__gsl_complex**gsl_complex_sqrt_real***(double x)*-
This function returns the complex square root of the real number
`x`, where`x`may be negative.

__Function:__gsl_complex**gsl_complex_pow***(gsl_complex*`z`, gsl_complex`a`)-
The function returns the complex number
`z`raised to the complex power`a`, @math{z^a}. This is computed as @math{\exp(\log(z)*a)} using complex logarithms and complex exponentials.

__Function:__gsl_complex**gsl_complex_pow_real***(gsl_complex*`z`, double`x`)-
This function returns the complex number
`z`raised to the real power`x`, @math{z^x}.

__Function:__gsl_complex**gsl_complex_exp***(gsl_complex*`z`)-
This function returns the complex exponential of the complex number
`z`, @math{\exp(z)}.

__Function:__gsl_complex**gsl_complex_log***(gsl_complex*`z`)-
This function returns the complex natural logarithm (base @math{e}) of
the complex number
`z`, @math{\log(z)}. The branch cut is the negative real axis.

__Function:__gsl_complex**gsl_complex_log10***(gsl_complex*`z`)-
This function returns the complex base-10 logarithm of
the complex number
`z`, @c{$\log_{10}(z)$} @math{\log_10 (z)}.

__Function:__gsl_complex**gsl_complex_log_b***(gsl_complex*`z`, gsl_complex`b`)-
This function returns the complex base-
`b`logarithm of the complex number`z`, @math{\log_b(z)}. This quantity is computed as the ratio @math{\log(z)/\log(b)}.

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