
#
# GENERATED WITH PDL::PP! Don't modify!
#
package PDL::GSLSF::GAMMA;

@EXPORT_OK  = qw( PDL::PP gsl_sf_lngamma PDL::PP gsl_sf_gamma PDL::PP gsl_sf_gammastar PDL::PP gsl_sf_gammainv PDL::PP gsl_sf_lngamma_complex PDL::PP gsl_sf_taylorcoeff PDL::PP gsl_sf_fact PDL::PP gsl_sf_doublefact PDL::PP gsl_sf_lnfact PDL::PP gsl_sf_lndoublefact PDL::PP gsl_sf_lnchoose PDL::PP gsl_sf_choose PDL::PP gsl_sf_lnpoch PDL::PP gsl_sf_poch PDL::PP gsl_sf_pochrel PDL::PP gsl_sf_gamma_inc_Q PDL::PP gsl_sf_gamma_inc_P PDL::PP gsl_sf_lnbeta PDL::PP gsl_sf_beta );
%EXPORT_TAGS = (Func=>[@EXPORT_OK]);

use PDL::Core;
use PDL::Exporter;
use DynaLoader;



   
   @ISA    = ( 'PDL::Exporter','DynaLoader' );
   push @PDL::Core::PP, __PACKAGE__;
   bootstrap PDL::GSLSF::GAMMA ;




=head1 NAME

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

=head1 DESCRIPTION

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

=head1 SYNOPSIS

=head1 Functions

=cut






=head1 FUNCTIONS



=cut






=head2 gsl_sf_lngamma

=for sig

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

=for ref

Log[Gamma(x)], x not a negative integer Uses real Lanczos method. Determines the sign of Gamma[x] as well as Log[|Gamma[x]|] for x < 0. So Gamma[x] = sgn * Exp[result_lg].



=cut






*gsl_sf_lngamma = \&PDL::gsl_sf_lngamma;




=head2 gsl_sf_gamma

=for sig

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

=for ref

Gamma(x), x not a negative integer



=cut






*gsl_sf_gamma = \&PDL::gsl_sf_gamma;




=head2 gsl_sf_gammastar

=for sig

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

=for ref

Regulated Gamma Function, x > 0 Gamma^*(x) = Gamma(x)/(Sqrt[2Pi] x^(x-1/2) exp(-x)) = (1 + 1/(12x) + ...),  x->Inf



=cut






*gsl_sf_gammastar = \&PDL::gsl_sf_gammastar;




=head2 gsl_sf_gammainv

=for sig

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

=for ref

1/Gamma(x)



=cut






*gsl_sf_gammainv = \&PDL::gsl_sf_gammainv;




=head2 gsl_sf_lngamma_complex

=for sig

  Signature: (double zr(); double zi(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())

=for ref

Log[Gamma(z)] for z complex, z not a negative integer. Calculates: lnr = log|Gamma(z)|, arg = arg(Gamma(z))  in (-Pi, Pi]



=cut






*gsl_sf_lngamma_complex = \&PDL::gsl_sf_lngamma_complex;




=head2 gsl_sf_taylorcoeff

=for sig

  Signature: (double x(); double [o]y(); double [o]e(); int n)

=for ref

x^n / n!



=cut






*gsl_sf_taylorcoeff = \&PDL::gsl_sf_taylorcoeff;




=head2 gsl_sf_fact

=for sig

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

=for ref

n!



=cut






*gsl_sf_fact = \&PDL::gsl_sf_fact;




=head2 gsl_sf_doublefact

=for sig

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

=for ref

n!! = n(n-2)(n-4)



=cut






*gsl_sf_doublefact = \&PDL::gsl_sf_doublefact;




=head2 gsl_sf_lnfact

=for sig

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

=for ref

ln n!



=cut






*gsl_sf_lnfact = \&PDL::gsl_sf_lnfact;




=head2 gsl_sf_lndoublefact

=for sig

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

=for ref

ln n!!



=cut






*gsl_sf_lndoublefact = \&PDL::gsl_sf_lndoublefact;




=head2 gsl_sf_lnchoose

=for sig

  Signature: (n(); m(); double [o]y(); double [o]e())

=for ref

log(n choose m)



=cut






*gsl_sf_lnchoose = \&PDL::gsl_sf_lnchoose;




=head2 gsl_sf_choose

=for sig

  Signature: (n(); m(); double [o]y(); double [o]e())

=for ref

n choose m



=cut






*gsl_sf_choose = \&PDL::gsl_sf_choose;




=head2 gsl_sf_lnpoch

=for sig

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

=for ref

Logarithm of Pochammer (Apell) symbol, with sign information. result = log( |(a)_x| ), sgn    = sgn( (a)_x ) where (a)_x := Gamma[a + x]/Gamma[a]



=cut






*gsl_sf_lnpoch = \&PDL::gsl_sf_lnpoch;




=head2 gsl_sf_poch

=for sig

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

=for ref

Pochammer (Apell) symbol (a)_x := Gamma[a + x]/Gamma[x]



=cut






*gsl_sf_poch = \&PDL::gsl_sf_poch;




=head2 gsl_sf_pochrel

=for sig

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

=for ref

Relative Pochammer (Apell) symbol ((a,x) - 1)/x where (a,x) = (a)_x := Gamma[a + x]/Gamma[a]



=cut






*gsl_sf_pochrel = \&PDL::gsl_sf_pochrel;




=head2 gsl_sf_gamma_inc_Q

=for sig

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

=for ref

Normalized Incomplete Gamma Function Q(a,x) = 1/Gamma(a) Integral[ t^(a-1) e^(-t), {t,x,Infinity} ]



=cut






*gsl_sf_gamma_inc_Q = \&PDL::gsl_sf_gamma_inc_Q;




=head2 gsl_sf_gamma_inc_P

=for sig

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

=for ref

Complementary Normalized Incomplete Gamma Function P(a,x) = 1/Gamma(a) Integral[ t^(a-1) e^(-t), {t,0,x} ]



=cut






*gsl_sf_gamma_inc_P = \&PDL::gsl_sf_gamma_inc_P;




=head2 gsl_sf_lnbeta

=for sig

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

=for ref

Logarithm of Beta Function Log[B(a,b)]



=cut






*gsl_sf_lnbeta = \&PDL::gsl_sf_lnbeta;




=head2 gsl_sf_beta

=for sig

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

=for ref

Beta Function B(a,b)



=cut






*gsl_sf_beta = \&PDL::gsl_sf_beta;


;

=head1 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.

=cut




# Exit with OK status

1;

		   