1EXPINT(3)             User Contributed Perl Documentation            EXPINT(3)
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NAME

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

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

Functions

FUNCTIONS

15   gsl_sf_expint_E1
16         Signature: (double x(); double [o]y(); double [o]e())
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18       E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ]
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20       gsl_sf_expint_E1 does not process bad values.  It will set the bad-
21       value flag of all output piddles if the flag is set for any of the
22       input piddles.
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24   gsl_sf_expint_E2
25         Signature: (double x(); double [o]y(); double [o]e())
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27       E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ]
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29       gsl_sf_expint_E2 does not process bad values.  It will set the bad-
30       value flag of all output piddles if the flag is set for any of the
31       input piddles.
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33   gsl_sf_expint_Ei
34         Signature: (double x(); double [o]y(); double [o]e())
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36       Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}]
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38       gsl_sf_expint_Ei does not process bad values.  It will set the bad-
39       value flag of all output piddles if the flag is set for any of the
40       input piddles.
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42   gsl_sf_Shi
43         Signature: (double x(); double [o]y(); double [o]e())
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45       Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]
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47       gsl_sf_Shi does not process bad values.  It will set the bad-value flag
48       of all output piddles if the flag is set for any of the input piddles.
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50   gsl_sf_Chi
51         Signature: (double x(); double [o]y(); double [o]e())
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53       Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ]
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55       gsl_sf_Chi does not process bad values.  It will set the bad-value flag
56       of all output piddles if the flag is set for any of the input piddles.
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58   gsl_sf_expint_3
59         Signature: (double x(); double [o]y(); double [o]e())
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61       Ei_3(x) := Integral[ Exp[-t^3], {t,0,x}]
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63       gsl_sf_expint_3 does not process bad values.  It will set the bad-value
64       flag of all output piddles if the flag is set for any of the input
65       piddles.
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67   gsl_sf_Si
68         Signature: (double x(); double [o]y(); double [o]e())
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70       Si(x) := Integrate[ Sin[t]/t, {t,0,x}]
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72       gsl_sf_Si does not process bad values.  It will set the bad-value flag
73       of all output piddles if the flag is set for any of the input piddles.
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75   gsl_sf_Ci
76         Signature: (double x(); double [o]y(); double [o]e())
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78       Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]
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80       gsl_sf_Ci does not process bad values.  It will set the bad-value flag
81       of all output piddles if the flag is set for any of the input piddles.
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83   gsl_sf_atanint
84         Signature: (double x(); double [o]y(); double [o]e())
85
86       AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}]
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88       gsl_sf_atanint does not process bad values.  It will set the bad-value
89       flag of all output piddles if the flag is set for any of the input
90       piddles.
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AUTHOR

93       This file copyright (C) 1999 Christian Pellegrin
94       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
95       You are allowed to redistribute this software / documentation under
96       certain conditions. For details, see the file COPYING in the PDL
97       distribution. If this file is separated from the PDL distribution, the
98       copyright notice should be included in the file.
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100       The GSL SF modules were written by G. Jungman.
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104perl v5.12.3                      2011-03-31                         EXPINT(3)