Legendre Form of Complete Elliptic Integrals

Function: double gsl_sf_ellint_Kcomp (double k, gsl_mode_t mode)

Function: int gsl_sf_ellint_Kcomp_e (double k, gsl_mode_t mode, gsl_sf_result * result)

These routines compute the complete elliptic integral @math{K(k)} to the accuracy specified by the mode variable mode.

Function: double gsl_sf_ellint_Ecomp (double k, gsl_mode_t mode)

Function: int gsl_sf_ellint_Ecomp_e (double k, gsl_mode_t mode, gsl_sf_result * result)

These routines compute the complete elliptic integral @math{E(k)} to the accuracy specified by the mode variable mode.