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<title>GNU Scientific Library &ndash; Reference Manual: Dawson Function</title>

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<a name="Dawson-Function"></a>
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<p>
Next: <a href="Debye-Functions.html#Debye-Functions" accesskey="n" rel="next">Debye Functions</a>, Previous: <a href="Coupling-Coefficients.html#Coupling-Coefficients" accesskey="p" rel="previous">Coupling Coefficients</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="Dawson-Function-1"></a>
<h3 class="section">7.9 Dawson Function</h3>
<a name="index-Dawson-function"></a>

<p>The Dawson integral is defined by <em>\exp(-x^2) \int_0^x dt
\exp(t^2)</em>.  A table of Dawson&rsquo;s integral can be found in Abramowitz &amp;
Stegun, Table 7.5.  The Dawson functions are declared in the header file
<samp>gsl_sf_dawson.h</samp>.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005fdawson"></a>Function: <em>double</em> <strong>gsl_sf_dawson</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fdawson_005fe"></a>Function: <em>int</em> <strong>gsl_sf_dawson_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the value of Dawson&rsquo;s integral for <var>x</var>.
</p></dd></dl>




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