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<title>GNU Scientific Library – Reference Manual: Elliptic Functions (Jacobi)</title>
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Next: <a href="Error-Functions.html#Error-Functions" accesskey="n" rel="next">Error Functions</a>, Previous: <a href="Elliptic-Integrals.html#Elliptic-Integrals" accesskey="p" rel="previous">Elliptic Integrals</a>, Up: <a href="Special-Functions.html#Special-Functions" accesskey="u" rel="up">Special Functions</a> [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Elliptic-Functions-_0028Jacobi_0029-1"></a>
<h3 class="section">7.14 Elliptic Functions (Jacobi)</h3>
<a name="index-Jacobi-elliptic-functions"></a>
<a name="index-elliptic-functions-_0028Jacobi_0029"></a>
<p>The Jacobian Elliptic functions are defined in Abramowitz & Stegun,
Chapter 16. The functions are declared in the header file
<samp>gsl_sf_elljac.h</samp>.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005felljac_005fe"></a>Function: <em>int</em> <strong>gsl_sf_elljac_e</strong> <em>(double <var>u</var>, double <var>m</var>, double * <var>sn</var>, double * <var>cn</var>, double * <var>dn</var>)</em></dt>
<dd><p>This function computes the Jacobian elliptic functions <em>sn(u|m)</em>,
<em>cn(u|m)</em>, <em>dn(u|m)</em> by descending Landen
transformations.
</p></dd></dl>
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