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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FUNCTIONS

13   gsl_sf_expint_E1
14         Signature: (double x(); double [o]y(); double [o]e())
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16       E_1(x) := Re[ Integrate[ Exp[-xt]/t, {t,1,Infinity}] ]
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18       gsl_sf_expint_E1 does not process bad values.  It will set the bad-
19       value flag of all output ndarrays if the flag is set for any of the
20       input ndarrays.
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22   gsl_sf_expint_E2
23         Signature: (double x(); double [o]y(); double [o]e())
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25       E_2(x) := Re[ Integrate[ Exp[-xt]/t^2, {t,1,Infity}] ]
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27       gsl_sf_expint_E2 does not process bad values.  It will set the bad-
28       value flag of all output ndarrays if the flag is set for any of the
29       input ndarrays.
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31   gsl_sf_expint_Ei
32         Signature: (double x(); double [o]y(); double [o]e())
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34       Ei(x) := PV Integrate[ Exp[-t]/t, {t,-x,Infinity}]
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36       gsl_sf_expint_Ei does not process bad values.  It will set the bad-
37       value flag of all output ndarrays if the flag is set for any of the
38       input ndarrays.
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40   gsl_sf_Shi
41         Signature: (double x(); double [o]y(); double [o]e())
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43       Shi(x) := Integrate[ Sinh[t]/t, {t,0,x}]
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45       gsl_sf_Shi does not process bad values.  It will set the bad-value flag
46       of all output ndarrays if the flag is set for any of the input
47       ndarrays.
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49   gsl_sf_Chi
50         Signature: (double x(); double [o]y(); double [o]e())
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52       Chi(x) := Re[ M_EULER + log(x) + Integrate[(Cosh[t]-1)/t, {t,0,x}] ]
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54       gsl_sf_Chi does not process bad values.  It will set the bad-value flag
55       of all output ndarrays if the flag is set for any of the input
56       ndarrays.
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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 ndarrays if the flag is set for any of the input
65       ndarrays.
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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 ndarrays if the flag is set for any of the input
74       ndarrays.
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76   gsl_sf_Ci
77         Signature: (double x(); double [o]y(); double [o]e())
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79       Ci(x) := -Integrate[ Cos[t]/t, {t,x,Infinity}]
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81       gsl_sf_Ci does not process bad values.  It will set the bad-value flag
82       of all output ndarrays if the flag is set for any of the input
83       ndarrays.
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85   gsl_sf_atanint
86         Signature: (double x(); double [o]y(); double [o]e())
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88       AtanInt(x) := Integral[ Arctan[t]/t, {t,0,x}]
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90       gsl_sf_atanint does not process bad values.  It will set the bad-value
91       flag of all output ndarrays if the flag is set for any of the input
92       ndarrays.
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AUTHOR

95       This file copyright (C) 1999 Christian Pellegrin
96       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
97       You are allowed to redistribute this software / documentation under
98       certain conditions. For details, see the file COPYING in the PDL
99       distribution. If this file is separated from the PDL distribution, the
100       copyright notice should be included in the file.
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102       The GSL SF modules were written by G. Jungman.
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106perl v5.36.0                      2023-01-20                         EXPINT(3)