NAME
PDL::GSLSF::EXPINT - PDL interface to GSL Special Functions
DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientific Library.
SYNOPSIS
FUNCTIONS
gsl_sf_expint_E1
Signature: (double x(); double [o]y(); double [o]e())E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ]
gsl_sf_expint_E2
Signature: (double x(); double [o]y(); double [o]e())E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ]
gsl_sf_expint_Ei
Signature: (double x(); double [o]y(); double [o]e())Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}]
gsl_sf_Shi
Signature: (double x(); double [o]y(); double [o]e())Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]
gsl_sf_Chi
Signature: (double x(); double [o]y(); double [o]e())Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ]
gsl_sf_expint_3
Signature: (double x(); double [o]y(); double [o]e())Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}]
gsl_sf_Si
Signature: (double x(); double [o]y(); double [o]e())Si(x) := Integrate[ Sin[t]/t, {t,0,x}]
gsl_sf_Ci
Signature: (double x(); double [o]y(); double [o]e())Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]
gsl_sf_atanint
Signature: (double x(); double [o]y(); double [o]e())AtanInt(x) := Integral[ Arctan[t]/t, {t,0,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.