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<h3 class="section">7.30 Transport Functions</h3>
<p><a name="index-transport-functions-803"></a>
The transport functions J(n,x) are defined by the integral
representations
<!-- {$J(n,x) := \int_0^x dt \, t^n e^t /(e^t - 1)^2$} -->
J(n,x) := \int_0^x dt t^n e^t /(e^t - 1)^2.
They are declared in the header file <samp><span class="file">gsl_sf_transport.h</span></samp>.
<div class="defun">
— Function: double <b>gsl_sf_transport_2</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005ftransport_005f2-804"></a></var><br>
— Function: int <b>gsl_sf_transport_2_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005ftransport_005f2_005fe-805"></a></var><br>
<blockquote><p>These routines compute the transport function J(2,x).
<!-- Exceptional Return Values: GSL_EDOM -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_transport_3</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005ftransport_005f3-806"></a></var><br>
— Function: int <b>gsl_sf_transport_3_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005ftransport_005f3_005fe-807"></a></var><br>
<blockquote><p>These routines compute the transport function J(3,x).
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_transport_4</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005ftransport_005f4-808"></a></var><br>
— Function: int <b>gsl_sf_transport_4_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005ftransport_005f4_005fe-809"></a></var><br>
<blockquote><p>These routines compute the transport function J(4,x).
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_transport_5</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005ftransport_005f5-810"></a></var><br>
— Function: int <b>gsl_sf_transport_5_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005ftransport_005f5_005fe-811"></a></var><br>
<blockquote><p>These routines compute the transport function J(5,x).
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
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