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<title>GNU Scientific Library – Reference Manual: Transport Functions</title>
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<a name="Transport-Functions"></a>
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Next: <a href="Trigonometric-Functions.html#Trigonometric-Functions" accesskey="n" rel="next">Trigonometric Functions</a>, Previous: <a href="Synchrotron-Functions.html#Synchrotron-Functions" accesskey="p" rel="previous">Synchrotron Functions</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="Transport-Functions-1"></a>
<h3 class="section">7.30 Transport Functions</h3>
<a name="index-transport-functions"></a>
<p>The transport functions <em>J(n,x)</em> are defined by the integral
representations
<em>J(n,x) := \int_0^x dt t^n e^t /(e^t - 1)^2</em>.
They are declared in the header file <samp>gsl_sf_transport.h</samp>.
</p>
<dl>
<dt><a name="index-gsl_005fsf_005ftransport_005f2"></a>Function: <em>double</em> <strong>gsl_sf_transport_2</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005ftransport_005f2_005fe"></a>Function: <em>int</em> <strong>gsl_sf_transport_2_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the transport function <em>J(2,x)</em>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fsf_005ftransport_005f3"></a>Function: <em>double</em> <strong>gsl_sf_transport_3</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005ftransport_005f3_005fe"></a>Function: <em>int</em> <strong>gsl_sf_transport_3_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the transport function <em>J(3,x)</em>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fsf_005ftransport_005f4"></a>Function: <em>double</em> <strong>gsl_sf_transport_4</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005ftransport_005f4_005fe"></a>Function: <em>int</em> <strong>gsl_sf_transport_4_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the transport function <em>J(4,x)</em>.
</p></dd></dl>
<dl>
<dt><a name="index-gsl_005fsf_005ftransport_005f5"></a>Function: <em>double</em> <strong>gsl_sf_transport_5</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005ftransport_005f5_005fe"></a>Function: <em>int</em> <strong>gsl_sf_transport_5_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the transport function <em>J(5,x)</em>.
</p></dd></dl>
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