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

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

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

  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 piddles if the flag is set for any of the input piddles.

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.