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

NAME

6       PDL::GSLSF::ELLINT - 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
FUNCTIONS
15   gsl_sf_ellint_Kcomp
16         Signature: (double k(); double [o]y(); double [o]e())
17
18       Legendre form of complete elliptic integrals K(k) = Integral[1/Sqrt[1 -
19       k^2 Sin[t]^2], {t, 0, Pi/2}].
20
21       gsl_sf_ellint_Kcomp does not process bad values.  It will set the bad-
22       value flag of all output piddles if the flag is set for any of the
23       input piddles.
24
25   gsl_sf_ellint_Ecomp
26         Signature: (double k(); double [o]y(); double [o]e())
27
28       Legendre form of complete elliptic integrals E(k) = Integral[  Sqrt[1 -
29       k^2 Sin[t]^2], {t, 0, Pi/2}]
30
31       gsl_sf_ellint_Ecomp does not process bad values.  It will set the bad-
32       value flag of all output piddles if the flag is set for any of the
33       input piddles.
34
35   gsl_sf_ellint_F
36         Signature: (double phi(); double k(); double [o]y(); double [o]e())
37
38       Legendre form of incomplete elliptic integrals F(phi,k)   =
39       Integral[1/Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]
40
41       gsl_sf_ellint_F does not process bad values.  It will set the bad-value
42       flag of all output piddles if the flag is set for any of the input
43       piddles.
44
45   gsl_sf_ellint_E
46         Signature: (double phi(); double k(); double [o]y(); double [o]e())
47
48       Legendre form of incomplete elliptic integrals E(phi,k)   = Integral[
49       Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]
50
51       gsl_sf_ellint_E does not process bad values.  It will set the bad-value
52       flag of all output piddles if the flag is set for any of the input
53       piddles.
54
55   gsl_sf_ellint_P
56         Signature: (double phi(); double k(); double n();
57                     double [o]y(); double [o]e())
58
59       Legendre form of incomplete elliptic integrals P(phi,k,n) = Integral[(1
60       + n Sin[t]^2)^(-1)/Sqrt[1 - k^2 Sin[t]^2], {t, 0, phi}]
61
62       gsl_sf_ellint_P 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_ellint_D
67         Signature: (double phi(); double k(); double n();
68                     double [o]y(); double [o]e())
69
70       Legendre form of incomplete elliptic integrals D(phi,k,n)
71
72       gsl_sf_ellint_D does not process bad values.  It will set the bad-value
73       flag of all output piddles if the flag is set for any of the input
74       piddles.
75
76   gsl_sf_ellint_RC
77         Signature: (double x(); double yy(); double [o]y(); double [o]e())
78
79       Carlsons symmetric basis of functions RC(x,y)   = 1/2
80       Integral[(t+x)^(-1/2) (t+y)^(-1)], {t,0,Inf}
81
82       gsl_sf_ellint_RC does not process bad values.  It will set the bad-
83       value flag of all output piddles if the flag is set for any of the
84       input piddles.
85
86   gsl_sf_ellint_RD
87         Signature: (double x(); double yy(); double z(); double [o]y(); double [o]e())
88
89       Carlsons symmetric basis of functions RD(x,y,z) = 3/2
90       Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-3/2), {t,0,Inf}]
91
92       gsl_sf_ellint_RD does not process bad values.  It will set the bad-
93       value flag of all output piddles if the flag is set for any of the
94       input piddles.
95
96   gsl_sf_ellint_RF
97         Signature: (double x(); double yy(); double z(); double [o]y(); double [o]e())
98
99       Carlsons symmetric basis of functions RF(x,y,z) = 1/2
100       Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-1/2), {t,0,Inf}]
101
102       gsl_sf_ellint_RF does not process bad values.  It will set the bad-
103       value flag of all output piddles if the flag is set for any of the
104       input piddles.
105
106   gsl_sf_ellint_RJ
107         Signature: (double x(); double yy(); double z(); double p(); double [o]y(); double [o]e())
108
109       Carlsons symmetric basis of functions RJ(x,y,z,p) = 3/2
110       Integral[(t+x)^(-1/2) (t+y)^(-1/2) (t+z)^(-1/2) (t+p)^(-1), {t,0,Inf}]
111
112       gsl_sf_ellint_RJ does not process bad values.  It will set the bad-
113       value flag of all output piddles if the flag is set for any of the
114       input piddles.
115

AUTHOR
117       This file copyright (C) 1999 Christian Pellegrin
118       <chri@infis.univ.trieste.it>, 2002 Christian Soeller.  All rights
119       reserved. There is no warranty. You are allowed to redistribute this
120       software / documentation under certain conditions. For details, see the
121       file COPYING in the PDL distribution. If this file is separated from
122       the PDL distribution, the copyright notice should be included in the
123       file.
124
125       The GSL SF modules were written by G. Jungman.
126
127
128
129perl v5.12.3                      2011-03-31                         ELLINT(3)



        

    


            
        

        

            Impressum