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
|
<html lang="en">
<head>
<title>Bessel Functions - GNU Scientific Library -- Reference Manual</title>
<meta http-equiv="Content-Type" content="text/html">
<meta name="description" content="GNU Scientific Library -- Reference Manual">
<meta name="generator" content="makeinfo 4.8">
<link title="Top" rel="start" href="index.html#Top">
<link rel="up" href="Special-Functions.html" title="Special Functions">
<link rel="prev" href="Airy-Functions-and-Derivatives.html" title="Airy Functions and Derivatives">
<link rel="next" href="Clausen-Functions.html" title="Clausen Functions">
<link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage">
<!--
Copyright (C) 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 The GSL Team.
Permission is granted to copy, distribute and/or modify this document
under the terms of the GNU Free Documentation License, Version 1.2 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 freedom to copy and modify this
GNU Manual, like GNU software.''-->
<meta http-equiv="Content-Style-Type" content="text/css">
<style type="text/css"><!--
pre.display { font-family:inherit }
pre.format { font-family:inherit }
pre.smalldisplay { font-family:inherit; font-size:smaller }
pre.smallformat { font-family:inherit; font-size:smaller }
pre.smallexample { font-size:smaller }
pre.smalllisp { font-size:smaller }
span.sc { font-variant:small-caps }
span.roman { font-family:serif; font-weight:normal; }
span.sansserif { font-family:sans-serif; font-weight:normal; }
--></style>
</head>
<body>
<div class="node">
<p>
<a name="Bessel-Functions"></a>
Next: <a rel="next" accesskey="n" href="Clausen-Functions.html">Clausen Functions</a>,
Previous: <a rel="previous" accesskey="p" href="Airy-Functions-and-Derivatives.html">Airy Functions and Derivatives</a>,
Up: <a rel="up" accesskey="u" href="Special-Functions.html">Special Functions</a>
<hr>
</div>
<h3 class="section">7.5 Bessel Functions</h3>
<p><a name="index-Bessel-functions-268"></a>
The routines described in this section compute the Cylindrical Bessel
functions J_n(x), Y_n(x), Modified cylindrical Bessel
functions I_n(x), K_n(x), Spherical Bessel functions
j_l(x), y_l(x), and Modified Spherical Bessel functions
i_l(x), k_l(x). For more information see Abramowitz & Stegun,
Chapters 9 and 10. The Bessel functions are defined in the header file
<samp><span class="file">gsl_sf_bessel.h</span></samp>.
<ul class="menu">
<li><a accesskey="1" href="Regular-Cylindrical-Bessel-Functions.html">Regular Cylindrical Bessel Functions</a>
<li><a accesskey="2" href="Irregular-Cylindrical-Bessel-Functions.html">Irregular Cylindrical Bessel Functions</a>
<li><a accesskey="3" href="Regular-Modified-Cylindrical-Bessel-Functions.html">Regular Modified Cylindrical Bessel Functions</a>
<li><a accesskey="4" href="Irregular-Modified-Cylindrical-Bessel-Functions.html">Irregular Modified Cylindrical Bessel Functions</a>
<li><a accesskey="5" href="Regular-Spherical-Bessel-Functions.html">Regular Spherical Bessel Functions</a>
<li><a accesskey="6" href="Irregular-Spherical-Bessel-Functions.html">Irregular Spherical Bessel Functions</a>
<li><a accesskey="7" href="Regular-Modified-Spherical-Bessel-Functions.html">Regular Modified Spherical Bessel Functions</a>
<li><a accesskey="8" href="Irregular-Modified-Spherical-Bessel-Functions.html">Irregular Modified Spherical Bessel Functions</a>
<li><a accesskey="9" href="Regular-Bessel-Function-_002d-Fractional-Order.html">Regular Bessel Function - Fractional Order</a>
<li><a href="Irregular-Bessel-Functions-_002d-Fractional-Order.html">Irregular Bessel Functions - Fractional Order</a>
<li><a href="Regular-Modified-Bessel-Functions-_002d-Fractional-Order.html">Regular Modified Bessel Functions - Fractional Order</a>
<li><a href="Irregular-Modified-Bessel-Functions-_002d-Fractional-Order.html">Irregular Modified Bessel Functions - Fractional Order</a>
<li><a href="Zeros-of-Regular-Bessel-Functions.html">Zeros of Regular Bessel Functions</a>
</ul>
<hr>The GNU Scientific Library - a free numerical library licensed under the GNU GPL<br>Back to the <a href="/software/gsl/">GNU Scientific Library Homepage</a></body></html>
|