HYPERG(3)						User Contributed Perl Documentation						 HYPERG(3)

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.

SYNOPSIS

Functions
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_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_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_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_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_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_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_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)

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.

perl v5.8.0							    2003-01-29								 HYPERG(3)