ELLINT(3)						User Contributed Perl Documentation						 ELLINT(3)

NAME

       PDL::GSLSF::ELLINT - 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_ellint_Kcomp

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

       Legendre form of complete elliptic integrals K(k) = Integral[1/Sqrt[1 - k^2 Sin[t]^2], {t, 0, Pi/2}].

       gsl_sf_ellint_Ecomp

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

       Legendre form of complete elliptic integrals E(k) = Integral[  Sqrt[1 - k^2 Sin[t]^2], {t, 0, Pi/2}]

       gsl_sf_ellint_F

	 Signature: (double phi(); double k(); double [o]y(); double [o]e())

       Legendre form of incomplete elliptic integrals F(phi,k)	 = Integral[1/Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]

       gsl_sf_ellint_E

	 Signature: (double phi(); double k(); double [o]y(); double [o]e())

       Legendre form of incomplete elliptic integrals E(phi,k)	 = Integral[  Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]

       gsl_sf_ellint_P

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

       Legendre form of incomplete elliptic integrals P(phi,k,n) = Integral[(1 + n Sin[t]^2)^(-1)/Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]

       gsl_sf_ellint_D

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

       Legendre form of incomplete elliptic integrals D(phi,k,n)

       gsl_sf_ellint_RC

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

       Carlsons symmetric basis of functions RC(x,y)   = 1/2 Integral[(t+x)^(-1/2) (t+y)^(-1)], {t,0,Inf}

       gsl_sf_ellint_RD

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

       Carlsons symmetric basis of functions RD(x,y,z) = 3/2 Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-3/2), {t,0,Inf}]

       gsl_sf_ellint_RF

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

       Carlsons symmetric basis of functions RF(x,y,z) = 1/2 Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-1/2), {t,0,Inf}]

       gsl_sf_ellint_RJ

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

       Carlsons symmetric basis of functions RJ(x,y,z,p) = 3/2 Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-1/2) (t+p)^(-1), {t,0,Inf}]

AUTHOR

       This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it>, 2002 Christian Soeller.  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								 ELLINT(3)