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<a name="Bessel-Functions"></a>
<div class="header">
<p>
Next: <a href="Clausen-Functions.html#Clausen-Functions" accesskey="n" rel="next">Clausen Functions</a>, Previous: <a href="Airy-Functions-and-Derivatives.html#Airy-Functions-and-Derivatives" accesskey="p" rel="previous">Airy Functions and Derivatives</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>
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<hr>
<a name="Bessel-Functions-1"></a>
<h3 class="section">7.5 Bessel Functions</h3>
<a name="index-Bessel-functions"></a>
<p>The routines described in this section compute the Cylindrical Bessel
functions <em>J_n(x)</em>, <em>Y_n(x)</em>, Modified cylindrical Bessel
functions <em>I_n(x)</em>, <em>K_n(x)</em>, Spherical Bessel functions
<em>j_l(x)</em>, <em>y_l(x)</em>, and Modified Spherical Bessel functions
<em>i_l(x)</em>, <em>k_l(x)</em>.  For more information see Abramowitz &amp; Stegun,
Chapters 9 and 10.  The Bessel functions are defined in the header file
<samp>gsl_sf_bessel.h</samp>.
</p>
<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top">&bull; <a href="Regular-Cylindrical-Bessel-Functions.html#Regular-Cylindrical-Bessel-Functions" accesskey="1">Regular Cylindrical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Cylindrical-Bessel-Functions.html#Irregular-Cylindrical-Bessel-Functions" accesskey="2">Irregular Cylindrical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Regular-Modified-Cylindrical-Bessel-Functions.html#Regular-Modified-Cylindrical-Bessel-Functions" accesskey="3">Regular Modified Cylindrical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Modified-Cylindrical-Bessel-Functions.html#Irregular-Modified-Cylindrical-Bessel-Functions" accesskey="4">Irregular Modified Cylindrical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Regular-Spherical-Bessel-Functions.html#Regular-Spherical-Bessel-Functions" accesskey="5">Regular Spherical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Spherical-Bessel-Functions.html#Irregular-Spherical-Bessel-Functions" accesskey="6">Irregular Spherical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Regular-Modified-Spherical-Bessel-Functions.html#Regular-Modified-Spherical-Bessel-Functions" accesskey="7">Regular Modified Spherical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Modified-Spherical-Bessel-Functions.html#Irregular-Modified-Spherical-Bessel-Functions" accesskey="8">Irregular Modified Spherical Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Regular-Bessel-Function-_002d-Fractional-Order.html#Regular-Bessel-Function-_002d-Fractional-Order" accesskey="9">Regular Bessel Function - Fractional Order</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Bessel-Functions-_002d-Fractional-Order.html#Irregular-Bessel-Functions-_002d-Fractional-Order">Irregular Bessel Functions - Fractional Order</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Regular-Modified-Bessel-Functions-_002d-Fractional-Order.html#Regular-Modified-Bessel-Functions-_002d-Fractional-Order">Regular Modified Bessel Functions - Fractional Order</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Irregular-Modified-Bessel-Functions-_002d-Fractional-Order.html#Irregular-Modified-Bessel-Functions-_002d-Fractional-Order">Irregular Modified Bessel Functions - Fractional Order</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
<tr><td align="left" valign="top">&bull; <a href="Zeros-of-Regular-Bessel-Functions.html#Zeros-of-Regular-Bessel-Functions">Zeros of Regular Bessel Functions</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
</td></tr>
</table>




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