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<p>
Next: <a href="Elliptic-Functions-_0028Jacobi_0029.html#Elliptic-Functions-_0028Jacobi_0029" accesskey="n" rel="next">Elliptic Functions (Jacobi)</a>, Previous: <a href="Elementary-Operations.html#Elementary-Operations" accesskey="p" rel="previous">Elementary Operations</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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<a name="Elliptic-Integrals-1"></a>
<h3 class="section">7.13 Elliptic Integrals</h3>
<a name="index-elliptic-integrals"></a>

<p>The functions described in this section are declared in the header
file <samp>gsl_sf_ellint.h</samp>.  Further information about the elliptic
integrals can be found in Abramowitz &amp; Stegun, Chapter 17.
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<tr><td align="left" valign="top">&bull; <a href="Definition-of-Legendre-Forms.html#Definition-of-Legendre-Forms" accesskey="1">Definition of Legendre Forms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Definition-of-Carlson-Forms.html#Definition-of-Carlson-Forms" accesskey="2">Definition of Carlson Forms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Legendre-Form-of-Complete-Elliptic-Integrals.html#Legendre-Form-of-Complete-Elliptic-Integrals" accesskey="3">Legendre Form of Complete Elliptic Integrals</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Legendre-Form-of-Incomplete-Elliptic-Integrals.html#Legendre-Form-of-Incomplete-Elliptic-Integrals" accesskey="4">Legendre Form of Incomplete Elliptic Integrals</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<tr><td align="left" valign="top">&bull; <a href="Carlson-Forms.html#Carlson-Forms" accesskey="5">Carlson Forms</a>:</td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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