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<title>GNU Scientific Library &ndash; Reference Manual: Carlson Forms</title>

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Previous: <a href="Legendre-Form-of-Incomplete-Elliptic-Integrals.html#Legendre-Form-of-Incomplete-Elliptic-Integrals" accesskey="p" rel="previous">Legendre Form of Incomplete Elliptic Integrals</a>, Up: <a href="Elliptic-Integrals.html#Elliptic-Integrals" accesskey="u" rel="up">Elliptic Integrals</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Carlson-Forms-1"></a>
<h4 class="subsection">7.13.5 Carlson Forms</h4>

<dl>
<dt><a name="index-gsl_005fsf_005fellint_005fRC"></a>Function: <em>double</em> <strong>gsl_sf_ellint_RC</strong> <em>(double <var>x</var>, double <var>y</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fellint_005fRC_005fe"></a>Function: <em>int</em> <strong>gsl_sf_ellint_RC_e</strong> <em>(double <var>x</var>, double <var>y</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the incomplete elliptic integral <em>RC(x,y)</em>
to the accuracy specified by the mode variable <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fellint_005fRD"></a>Function: <em>double</em> <strong>gsl_sf_ellint_RD</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fellint_005fRD_005fe"></a>Function: <em>int</em> <strong>gsl_sf_ellint_RD_e</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the incomplete elliptic integral <em>RD(x,y,z)</em>
to the accuracy specified by the mode variable <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fellint_005fRF"></a>Function: <em>double</em> <strong>gsl_sf_ellint_RF</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fellint_005fRF_005fe"></a>Function: <em>int</em> <strong>gsl_sf_ellint_RF_e</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the incomplete elliptic integral <em>RF(x,y,z)</em>
to the accuracy specified by the mode variable <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fellint_005fRJ"></a>Function: <em>double</em> <strong>gsl_sf_ellint_RJ</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, double <var>p</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fellint_005fRJ_005fe"></a>Function: <em>int</em> <strong>gsl_sf_ellint_RJ_e</strong> <em>(double <var>x</var>, double <var>y</var>, double <var>z</var>, double <var>p</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the incomplete elliptic integral <em>RJ(x,y,z,p)</em>
to the accuracy specified by the mode variable <var>mode</var>.
</p></dd></dl>




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