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RedHat 9 (Linux i386) - man page for pdl::gslsf::hyperg (redhat section 3)

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)

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