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<title>GNU Scientific Library &ndash; Reference Manual: Beta Functions</title>

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<a name="Beta-Functions"></a>
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<p>
Next: <a href="Incomplete-Beta-Function.html#Incomplete-Beta-Function" accesskey="n" rel="next">Incomplete Beta Function</a>, Previous: <a href="Incomplete-Gamma-Functions.html#Incomplete-Gamma-Functions" accesskey="p" rel="previous">Incomplete Gamma Functions</a>, Up: <a href="Gamma-and-Beta-Functions.html#Gamma-and-Beta-Functions" accesskey="u" rel="up">Gamma and Beta Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<a name="Beta-Functions-1"></a>
<h4 class="subsection">7.19.5 Beta Functions</h4>

<dl>
<dt><a name="index-gsl_005fsf_005fbeta"></a>Function: <em>double</em> <strong>gsl_sf_beta</strong> <em>(double <var>a</var>, double <var>b</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbeta_005fe"></a>Function: <em>int</em> <strong>gsl_sf_beta_e</strong> <em>(double <var>a</var>, double <var>b</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><a name="index-Beta-function"></a>
<p>These routines compute the Beta Function, <em>B(a,b) =
\Gamma(a)\Gamma(b)/\Gamma(a+b)</em> subject to <em>a</em> and <em>b</em> not
being negative integers.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005flnbeta"></a>Function: <em>double</em> <strong>gsl_sf_lnbeta</strong> <em>(double <var>a</var>, double <var>b</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005flnbeta_005fe"></a>Function: <em>int</em> <strong>gsl_sf_lnbeta_e</strong> <em>(double <var>a</var>, double <var>b</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><a name="index-logarithm-of-Beta-function"></a>
<p>These routines compute the logarithm of the Beta Function, <em>\log(B(a,b))</em>
subject to <em>a</em> and <em>b</em> not
being negative integers.
</p></dd></dl>




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