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.

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_E1 does not process bad values.  It will set the bad-value flag of all
       output ndarrays if the flag is set for any of the input ndarrays.

   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_E2 does not process bad values.  It will set the bad-value flag of all
       output ndarrays if the flag is set for any of the input ndarrays.

   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_expint_Ei does not process bad values.  It will set the bad-value flag of all
       output ndarrays if the flag is set for any of the input ndarrays.

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

       Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]

       gsl_sf_Shi does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

   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_Chi does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

   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_expint_3 does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

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

       Si(x) := Integrate[ Sin[t]/t, {t,0,x}]

       gsl_sf_Si does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

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

       Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]

       gsl_sf_Ci does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

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

       AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}]

       gsl_sf_atanint does not process bad values.  It will set the bad-value flag of all output
       ndarrays if the flag is set for any of the input ndarrays.

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.