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_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.

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

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

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

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

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

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

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

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

AUTHOR

This file copyright (C) 1999 Christian Pellegrin <[email protected]> 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.