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<a name="Exponential-Integral"></a>
<div class="header">
<p>
Next: <a href="Ei_0028x_0029.html#Ei_0028x_0029" accesskey="n" rel="next">Ei(x)</a>, Up: <a href="Exponential-Integrals.html#Exponential-Integrals" accesskey="u" rel="up">Exponential Integrals</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
</div>
<hr>
<a name="Exponential-Integral-1"></a>
<h4 class="subsection">7.17.1 Exponential Integral</h4>
<a name="index-E1_0028x_0029_002c-E2_0028x_0029_002c-Ei_0028x_0029"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fexpint_005fE1"></a>Function: <em>double</em> <strong>gsl_sf_expint_E1</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fexpint_005fE1_005fe"></a>Function: <em>int</em> <strong>gsl_sf_expint_E1_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the exponential integral <em>E_1(x)</em>,
</p>
<div class="example">
<pre class="example">E_1(x) := \Re \int_1^\infty dt \exp(-xt)/t.
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fexpint_005fE2"></a>Function: <em>double</em> <strong>gsl_sf_expint_E2</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fexpint_005fE2_005fe"></a>Function: <em>int</em> <strong>gsl_sf_expint_E2_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the second-order exponential integral <em>E_2(x)</em>,
</p>
<div class="example">
<pre class="example">E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2.
</pre></div>

</dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fexpint_005fEn"></a>Function: <em>double</em> <strong>gsl_sf_expint_En</strong> <em>(int <var>n</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fexpint_005fEn_005fe"></a>Function: <em>int</em> <strong>gsl_sf_expint_En_e</strong> <em>(int <var>n</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the exponential integral <em>E_n(x)</em> of order <em>n</em>, 
</p>
<div class="example">
<pre class="example">E_n(x) := \Re \int_1^\infty dt \exp(-xt)/t^n.
</pre></div>

</dd></dl>





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