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

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<a name="Airy-Functions"></a>
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<p>
Next: <a href="Derivatives-of-Airy-Functions.html#Derivatives-of-Airy-Functions" accesskey="n" rel="next">Derivatives of Airy Functions</a>, Up: <a href="Airy-Functions-and-Derivatives.html#Airy-Functions-and-Derivatives" accesskey="u" rel="up">Airy Functions and Derivatives</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Airy-Functions-1"></a>
<h4 class="subsection">7.4.1 Airy Functions</h4>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fAi"></a>Function: <em>double</em> <strong>gsl_sf_airy_Ai</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Ai_e</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the Airy function <em>Ai(x)</em> with an accuracy
specified by <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fBi"></a>Function: <em>double</em> <strong>gsl_sf_airy_Bi</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Bi_e</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the Airy function <em>Bi(x)</em> with an accuracy
specified by <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fscaled"></a>Function: <em>double</em> <strong>gsl_sf_airy_Ai_scaled</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fscaled_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Ai_scaled_e</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute a scaled version of the Airy function
<em>S_A(x) Ai(x)</em>.  For <em>x&gt;0</em> the scaling factor <em>S_A(x)</em> is <em>\exp(+(2/3) x^(3/2))</em>, 
and is 1
for <em>x&lt;0</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fscaled"></a>Function: <em>double</em> <strong>gsl_sf_airy_Bi_scaled</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fscaled_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Bi_scaled_e</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute a scaled version of the Airy function
<em>S_B(x) Bi(x)</em>.  For <em>x&gt;0</em> the scaling factor <em>S_B(x)</em> is <em>exp(-(2/3) x^(3/2))</em>, and is 1 for <em>x&lt;0</em>.
</p></dd></dl>





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