File: Regular-Bessel-Function-_002d-Fractional-Order.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-- 5,438 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: Regular Bessel Function - Fractional Order</title>

<meta name="description" content="GNU Scientific Library &ndash; Reference Manual: Regular Bessel Function - Fractional Order">
<meta name="keywords" content="GNU Scientific Library &ndash; Reference Manual: Regular Bessel Function - Fractional Order">
<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="Bessel-Functions.html#Bessel-Functions" rel="up" title="Bessel Functions">
<link href="Irregular-Bessel-Functions-_002d-Fractional-Order.html#Irregular-Bessel-Functions-_002d-Fractional-Order" rel="next" title="Irregular Bessel Functions - Fractional Order">
<link href="Irregular-Modified-Spherical-Bessel-Functions.html#Irregular-Modified-Spherical-Bessel-Functions" rel="previous" title="Irregular Modified Spherical Bessel 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="Regular-Bessel-Function-_002d-Fractional-Order"></a>
<div class="header">
<p>
Next: <a href="Irregular-Bessel-Functions-_002d-Fractional-Order.html#Irregular-Bessel-Functions-_002d-Fractional-Order" accesskey="n" rel="next">Irregular Bessel Functions - Fractional Order</a>, Previous: <a href="Irregular-Modified-Spherical-Bessel-Functions.html#Irregular-Modified-Spherical-Bessel-Functions" accesskey="p" rel="previous">Irregular Modified Spherical Bessel Functions</a>, Up: <a href="Bessel-Functions.html#Bessel-Functions" accesskey="u" rel="up">Bessel Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Regular-Bessel-Function_002d_002d_002dFractional-Order"></a>
<h4 class="subsection">7.5.9 Regular Bessel Function&mdash;Fractional Order</h4>
<a name="index-Fractional-Order-Bessel-Functions"></a>
<a name="index-Bessel-Functions_002c-Fractional-Order"></a>
<a name="index-Regular-Bessel-Functions_002c-Fractional-Order"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fJnu"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Jnu</strong> <em>(double <var>nu</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fJnu_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Jnu_e</strong> <em>(double <var>nu</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the regular cylindrical Bessel function of
fractional order <em>\nu</em>, <em>J_\nu(x)</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fsequence_005fJnu_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_sequence_Jnu_e</strong> <em>(double <var>nu</var>, gsl_mode_t <var>mode</var>, size_t <var>size</var>, double <var>v</var>[])</em></dt>
<dd><p>This function computes the regular cylindrical Bessel function of
fractional order <em>\nu</em>, <em>J_\nu(x)</em>, evaluated at a series of
<em>x</em> values.  The array <var>v</var> of length <var>size</var> contains the
<em>x</em> values.  They are assumed to be strictly ordered and positive.
The array is over-written with the values of <em>J_\nu(x_i)</em>.
</p></dd></dl>





</body>
</html>