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<title>Airy Functions - GNU Scientific Library -- Reference Manual</title>
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Next: <a rel="next" accesskey="n" href="Derivatives-of-Airy-Functions.html#Derivatives-of-Airy-Functions">Derivatives of Airy Functions</a>,
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<h4 class="subsection">7.4.1 Airy Functions</h4>
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— Function: double <b>gsl_sf_airy_Ai</b> (<var>double x, gsl_mode_t mode</var>)<var><a name="index-gsl_005fsf_005fairy_005fAi-239"></a></var><br>
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— Function: int <b>gsl_sf_airy_Ai_e</b> (<var>double x, gsl_mode_t mode, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fairy_005fAi_005fe-240"></a></var><br>
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<blockquote><p>These routines compute the Airy function Ai(x) with an accuracy
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specified by <var>mode</var>.
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</p></blockquote></div>
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— Function: double <b>gsl_sf_airy_Bi</b> (<var>double x, gsl_mode_t mode</var>)<var><a name="index-gsl_005fsf_005fairy_005fBi-241"></a></var><br>
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— Function: int <b>gsl_sf_airy_Bi_e</b> (<var>double x, gsl_mode_t mode, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fairy_005fBi_005fe-242"></a></var><br>
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<blockquote><p>These routines compute the Airy function Bi(x) with an accuracy
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specified by <var>mode</var>.
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</p></blockquote></div>
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— Function: double <b>gsl_sf_airy_Ai_scaled</b> (<var>double x, gsl_mode_t mode</var>)<var><a name="index-gsl_005fsf_005fairy_005fAi_005fscaled-243"></a></var><br>
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— Function: int <b>gsl_sf_airy_Ai_scaled_e</b> (<var>double x, gsl_mode_t mode, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fairy_005fAi_005fscaled_005fe-244"></a></var><br>
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<blockquote><p>These routines compute a scaled version of the Airy function
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S_A(x) Ai(x). For x>0 the scaling factor S_A(x) is <!-- {$\exp(+(2/3) x^{3/2})$} -->
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</p></blockquote></div>
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— Function: double <b>gsl_sf_airy_Bi_scaled</b> (<var>double x, gsl_mode_t mode</var>)<var><a name="index-gsl_005fsf_005fairy_005fBi_005fscaled-245"></a></var><br>
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— Function: int <b>gsl_sf_airy_Bi_scaled_e</b> (<var>double x, gsl_mode_t mode, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fairy_005fBi_005fscaled_005fe-246"></a></var><br>
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<blockquote><p>These routines compute a scaled version of the Airy function
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S_B(x) Bi(x). For x>0 the scaling factor S_B(x) is <!-- {$\exp(-(2/3) x^{3/2})$} -->
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exp(-(2/3) x^(3/2)), and is 1 for x<0.
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</p></blockquote></div>
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