File: Radial-Mathieu-Functions.html

package info (click to toggle)
gsl-ref-html 2.3-1
  • links: PTS
  • area: non-free
  • in suites: bullseye, buster, sid
  • size: 6,876 kB
  • ctags: 4,574
  • sloc: makefile: 35
file content (105 lines) | stat: -rw-r--r-- 5,823 bytes parent folder | download
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<!-- Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016 The GSL Team.

Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.3 or
any later version published by the Free Software Foundation; with the
Invariant Sections being "GNU General Public License" and "Free Software
Needs Free Documentation", the Front-Cover text being "A GNU Manual",
and with the Back-Cover Text being (a) (see below). A copy of the
license is included in the section entitled "GNU Free Documentation
License".

(a) The Back-Cover Text is: "You have the freedom to copy and modify this
GNU Manual." -->
<!-- Created by GNU Texinfo 5.1, http://www.gnu.org/software/texinfo/ -->
<head>
<title>GNU Scientific Library &ndash; Reference Manual: Radial Mathieu Functions</title>

<meta name="description" content="GNU Scientific Library &ndash; Reference Manual: Radial Mathieu Functions">
<meta name="keywords" content="GNU Scientific Library &ndash; Reference Manual: Radial Mathieu Functions">
<meta name="resource-type" content="document">
<meta name="distribution" content="global">
<meta name="Generator" content="makeinfo">
<meta http-equiv="Content-Type" content="text/html; charset=utf-8">
<link href="index.html#Top" rel="start" title="Top">
<link href="Function-Index.html#Function-Index" rel="index" title="Function Index">
<link href="Mathieu-Functions.html#Mathieu-Functions" rel="up" title="Mathieu Functions">
<link href="Power-Function.html#Power-Function" rel="next" title="Power Function">
<link href="Angular-Mathieu-Functions.html#Angular-Mathieu-Functions" rel="previous" title="Angular Mathieu Functions">
<style type="text/css">
<!--
a.summary-letter {text-decoration: none}
blockquote.smallquotation {font-size: smaller}
div.display {margin-left: 3.2em}
div.example {margin-left: 3.2em}
div.indentedblock {margin-left: 3.2em}
div.lisp {margin-left: 3.2em}
div.smalldisplay {margin-left: 3.2em}
div.smallexample {margin-left: 3.2em}
div.smallindentedblock {margin-left: 3.2em; font-size: smaller}
div.smalllisp {margin-left: 3.2em}
kbd {font-style:oblique}
pre.display {font-family: inherit}
pre.format {font-family: inherit}
pre.menu-comment {font-family: serif}
pre.menu-preformatted {font-family: serif}
pre.smalldisplay {font-family: inherit; font-size: smaller}
pre.smallexample {font-size: smaller}
pre.smallformat {font-family: inherit; font-size: smaller}
pre.smalllisp {font-size: smaller}
span.nocodebreak {white-space:nowrap}
span.nolinebreak {white-space:nowrap}
span.roman {font-family:serif; font-weight:normal}
span.sansserif {font-family:sans-serif; font-weight:normal}
ul.no-bullet {list-style: none}
-->
</style>


</head>

<body lang="en" bgcolor="#FFFFFF" text="#000000" link="#0000FF" vlink="#800080" alink="#FF0000">
<a name="Radial-Mathieu-Functions"></a>
<div class="header">
<p>
Previous: <a href="Angular-Mathieu-Functions.html#Angular-Mathieu-Functions" accesskey="p" rel="previous">Angular Mathieu Functions</a>, Up: <a href="Mathieu-Functions.html#Mathieu-Functions" accesskey="u" rel="up">Mathieu Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Radial-Mathieu-Functions-1"></a>
<h4 class="subsection">7.26.4 Radial Mathieu Functions</h4>
<a name="index-Radial-Mathieu-Functions"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMc"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Mc</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMc_005fe"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Mc_e</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMs"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Ms</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMs_005fe"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Ms_e</strong> <em>(int <var>j</var>, int <var>n</var>, double <var>q</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the radial <var>j</var>-th kind Mathieu functions
<em>Mc_n^{(j)}(q,x)</em> and 
<em>Ms_n^{(j)}(q,x)</em> of order <var>n</var>.
</p>
<p>The allowed values of <var>j</var> are 1 and 2.
The functions for <em>j = 3,4</em> can be computed as 
<em>M_n^{(3)} = M_n^{(1)} + iM_n^{(2)}</em> and 
<em>M_n^{(4)} = M_n^{(1)} - iM_n^{(2)}</em>,
where 
<em>M_n^{(j)} = Mc_n^{(j)}</em> or 
<em>Ms_n^{(j)}</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMc_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Mc_array</strong> <em>(int <var>j</var>, int <var>nmin</var>, int <var>nmax</var>, double <var>q</var>, double <var>x</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dt><a name="index-gsl_005fsf_005fmathieu_005fMs_005farray"></a>Function: <em>int</em> <strong>gsl_sf_mathieu_Ms_array</strong> <em>(int <var>j</var>, int <var>nmin</var>, int <var>nmax</var>, double <var>q</var>, double <var>x</var>, gsl_sf_mathieu_workspace * <var>work</var>, double <var>result_array</var>[])</em></dt>
<dd><p>These routines compute a series of the radial Mathieu functions of
kind <var>j</var>, with order from <var>nmin</var> to <var>nmax</var> inclusive, storing the
results in the array <var>result_array</var>.
</p></dd></dl>





</body>
</html>