File: Legendre-Functions-and-Spherical-Harmonics.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 (97 lines) | stat: -rw-r--r-- 5,190 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
<!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: Legendre Functions and Spherical Harmonics</title>

<meta name="description" content="GNU Scientific Library &ndash; Reference Manual: Legendre Functions and Spherical Harmonics">
<meta name="keywords" content="GNU Scientific Library &ndash; Reference Manual: Legendre Functions and Spherical Harmonics">
<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="Special-Functions.html#Special-Functions" rel="up" title="Special Functions">
<link href="Legendre-Polynomials.html#Legendre-Polynomials" rel="next" title="Legendre Polynomials">
<link href="Lambert-W-Functions.html#Lambert-W-Functions" rel="previous" title="Lambert W 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="Legendre-Functions-and-Spherical-Harmonics"></a>
<div class="header">
<p>
Next: <a href="Logarithm-and-Related-Functions.html#Logarithm-and-Related-Functions" accesskey="n" rel="next">Logarithm and Related Functions</a>, Previous: <a href="Lambert-W-Functions.html#Lambert-W-Functions" accesskey="p" rel="previous">Lambert W Functions</a>, Up: <a href="Special-Functions.html#Special-Functions" accesskey="u" rel="up">Special Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Legendre-Functions-and-Spherical-Harmonics-1"></a>
<h3 class="section">7.24 Legendre Functions and Spherical Harmonics</h3>
<a name="index-Legendre-polynomials"></a>
<a name="index-Legendre-functions"></a>
<a name="index-spherical-harmonics"></a>
<a name="index-conical-functions"></a>
<a name="index-hyperbolic-space"></a>

<p>The Legendre Functions and Legendre Polynomials are described in
Abramowitz &amp; Stegun, Chapter 8.  These functions are declared in 
the header file <samp>gsl_sf_legendre.h</samp>.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="Legendre-Polynomials.html#Legendre-Polynomials" accesskey="1">Legendre Polynomials</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Associated-Legendre-Polynomials-and-Spherical-Harmonics.html#Associated-Legendre-Polynomials-and-Spherical-Harmonics" accesskey="2">Associated Legendre Polynomials and Spherical Harmonics</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Conical-Functions.html#Conical-Functions" accesskey="3">Conical Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Radial-Functions-for-Hyperbolic-Space.html#Radial-Functions-for-Hyperbolic-Space" accesskey="4">Radial Functions for Hyperbolic Space</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>




</body>
</html>