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- Function: double gsl_sf_ellint_F (double phi, double k, gsl_mode_t mode)
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- Function: int gsl_sf_ellint_F_e (double phi, double k, gsl_mode_t mode, gsl_sf_result * result)
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These routines compute the incomplete elliptic integral @math{F(\phi,k)}
to the accuracy specified by the mode variable mode.
- Function: double gsl_sf_ellint_E (double phi, double k, gsl_mode_t mode)
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- Function: int gsl_sf_ellint_E_e (double phi, double k, gsl_mode_t mode, gsl_sf_result * result)
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These routines compute the incomplete elliptic integral @math{E(\phi,k)}
to the accuracy specified by the mode variable mode.
- Function: double gsl_sf_ellint_P (double phi, double k, double n, gsl_mode_t mode)
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- Function: int gsl_sf_ellint_P_e (double phi, double k, double n, gsl_mode_t mode, gsl_sf_result * result)
-
These routines compute the incomplete elliptic integral @math{P(\phi,k,n)}
to the accuracy specified by the mode variable mode.
- Function: double gsl_sf_ellint_D (double phi, double k, double n, gsl_mode_t mode)
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- Function: int gsl_sf_ellint_D_e (double phi, double k, double n, gsl_mode_t mode, gsl_sf_result * result)
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These functions compute the incomplete elliptic integral
@math{D(\phi,k,n)} which is defined through the Carlson form @math{RD(x,y,z)}
by the following relation,
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