PDL::GSLSF::HYPERG - PDL interface to GSL Special Functions

       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There
       is no warranty. You are allowed to redistribute this software / documentation under certain conditions.
       For details, see the file COPYING in the PDL distribution. If this file is separated from the PDL
       distribution, the copyright notice should be included in the file.

       The GSL SF modules were written by G. Jungman.

perl v5.34.0                                       2022-02-08                                        HYPERG(3pm)

       This is an interface to the Special Function package present in the GNU Scientific Library.

gsl_sf_hyperg_0F1
         Signature: (double x(); double [o]y(); double [o]e(); double c)

       /* Hypergeometric function related to Bessel functions 0F1[c,x] = Gamma[c]    x^(1/2(1-c)) I_{c-1}(2
       Sqrt[x]) Gamma[c] (-x)^(1/2(1-c)) J_{c-1}(2 Sqrt[-x])

       gsl_sf_hyperg_0F1 does not process bad values.  It will set the bad-value flag of all output ndarrays if
       the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_1F1
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Confluent hypergeometric function  for integer parameters. 1F1[a,b,x] = M(a,b,x)

       gsl_sf_hyperg_1F1 does not process bad values.  It will set the bad-value flag of all output ndarrays if
       the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_U
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Confluent hypergeometric function  for integer parameters. U(a,b,x)

       gsl_sf_hyperg_U does not process bad values.  It will set the bad-value flag of all output ndarrays if
       the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_2F1
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Confluent hypergeometric function  for integer parameters. 2F1[a,b,c,x]

       gsl_sf_hyperg_2F1 does not process bad values.  It will set the bad-value flag of all output ndarrays if
       the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_2F1_conj
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x]

       gsl_sf_hyperg_2F1_conj does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_2F1_renorm
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c]

       gsl_sf_hyperg_2F1_renorm does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_2F1_conj_renorm
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b; double c)

       Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] / Gamma[c]

       gsl_sf_hyperg_2F1_conj_renorm does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

   gsl_sf_hyperg_2F0
         Signature: (double x(); double [o]y(); double [o]e(); double a; double b)

       Mysterious hypergeometric function. The series representation is a divergent hypergeometric series.
       However, for x < 0 we have 2F0(a,b,x) = (-1/x)^a U(a,1+a-b,-1/x)

       gsl_sf_hyperg_2F0 does not process bad values.  It will set the bad-value flag of all output ndarrays if
       the flag is set for any of the input ndarrays.

       PDL::GSLSF::HYPERG - PDL interface to GSL Special Functions