NAME

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

DESCRIPTION

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

FUNCTIONS

   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.

AUTHOR

       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.