1EXPINT(3)             User Contributed Perl Documentation            EXPINT(3)
2
3
4

NAME

6       PDL::GSLSF::EXPINT - PDL interface to GSL Special Functions
7

DESCRIPTION

9       This is an interface to the Special Function package present in the GNU
10       Scientific Library.
11

SYNOPSIS

FUNCTIONS

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

AUTHOR

92       This file copyright (C) 1999 Christian Pellegrin
93       <chri@infis.univ.trieste.it> All rights reserved. There is no warranty.
94       You are allowed to redistribute this software / documentation under
95       certain conditions. For details, see the file COPYING in the PDL
96       distribution. If this file is separated from the PDL distribution, the
97       copyright notice should be included in the file.
98
99       The GSL SF modules were written by G. Jungman.
100
101
102
103perl v5.30.0                      2019-09-05                         EXPINT(3)