### Carlson Forms

Function: double gsl_sf_ellint_RC (double x, double y, gsl_mode_t mode)
Function: int gsl_sf_ellint_RC_e (double x, double y, gsl_mode_t mode, gsl_sf_result * result)
  These routines compute the incomplete elliptic integral RC(x,y) to the accuracy specified by the mode variable mode.

Function: double gsl_sf_ellint_RD (double x, double y, double z, gsl_mode_t mode)
Function: int gsl_sf_ellint_RD_e (double x, double y, double z, gsl_mode_t mode, gsl_sf_result * result)
  These routines compute the incomplete elliptic integral RD(x,y,z) to the accuracy specified by the mode variable mode.

Function: double gsl_sf_ellint_RF (double x, double y, double z, gsl_mode_t mode)
Function: int gsl_sf_ellint_RF_e (double x, double y, double z, gsl_mode_t mode, gsl_sf_result * result)
  These routines compute the incomplete elliptic integral RF(x,y,z) to the accuracy specified by the mode variable mode.

Function: double gsl_sf_ellint_RJ (double x, double y, double z, double p, gsl_mode_t mode)
Function: int gsl_sf_ellint_RJ_e (double x, double y, double z, double p, gsl_mode_t mode, gsl_sf_result * result)
  These routines compute the incomplete elliptic integral RJ(x,y,z,p) to the accuracy specified by the mode variable mode.