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

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<a name="Derivatives-of-Airy-Functions"></a>
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Next: <a href="Zeros-of-Airy-Functions.html#Zeros-of-Airy-Functions" accesskey="n" rel="next">Zeros of Airy Functions</a>, Previous: <a href="Airy-Functions.html#Airy-Functions" accesskey="p" rel="previous">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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<a name="Derivatives-of-Airy-Functions-1"></a>
<h4 class="subsection">7.4.2 Derivatives of Airy Functions</h4>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fderiv"></a>Function: <em>double</em> <strong>gsl_sf_airy_Ai_deriv</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fderiv_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Ai_deriv_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 derivative <em>Ai'(x)</em> with
an accuracy specified by <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fderiv"></a>Function: <em>double</em> <strong>gsl_sf_airy_Bi_deriv</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fderiv_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Bi_deriv_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 derivative <em>Bi'(x)</em> with
an accuracy specified by <var>mode</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fderiv_005fscaled"></a>Function: <em>double</em> <strong>gsl_sf_airy_Ai_deriv_scaled</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fAi_005fderiv_005fscaled_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Ai_deriv_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 the scaled Airy function derivative 
<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_005fderiv_005fscaled"></a>Function: <em>double</em> <strong>gsl_sf_airy_Bi_deriv_scaled</strong> <em>(double <var>x</var>, gsl_mode_t <var>mode</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fairy_005fBi_005fderiv_005fscaled_005fe"></a>Function: <em>int</em> <strong>gsl_sf_airy_Bi_deriv_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 the scaled Airy function derivative 
<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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