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<a name="Irregular-Cylindrical-Bessel-Functions"></a>
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<p>
Next: <a href="Regular-Modified-Cylindrical-Bessel-Functions.html#Regular-Modified-Cylindrical-Bessel-Functions" accesskey="n" rel="next">Regular Modified Cylindrical Bessel Functions</a>, Previous: <a href="Regular-Cylindrical-Bessel-Functions.html#Regular-Cylindrical-Bessel-Functions" accesskey="p" rel="previous">Regular Cylindrical Bessel Functions</a>, Up: <a href="Bessel-Functions.html#Bessel-Functions" accesskey="u" rel="up">Bessel Functions</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Irregular-Cylindrical-Bessel-Functions-1"></a>
<h4 class="subsection">7.5.2 Irregular Cylindrical Bessel Functions</h4>
<a name="index-Irregular-Cylindrical-Bessel-Functions"></a>
<a name="index-Y_0028x_0029_002c-Bessel-Functions"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fY0"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Y0</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fY0_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Y0_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the irregular cylindrical Bessel function of zeroth
order, <em>Y_0(x)</em>, for <em>x&gt;0</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fY1"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Y1</strong> <em>(double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fY1_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Y1_e</strong> <em>(double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the irregular cylindrical Bessel function of first
order, <em>Y_1(x)</em>, for <em>x&gt;0</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fYn"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Yn</strong> <em>(int <var>n</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fYn_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Yn_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 irregular cylindrical Bessel function of 
order <var>n</var>, <em>Y_n(x)</em>, for <em>x&gt;0</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fYn_005farray"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Yn_array</strong> <em>(int <var>nmin</var>, int <var>nmax</var>, double <var>x</var>, double <var>result_array</var>[])</em></dt>
<dd><p>This routine computes the values of the irregular cylindrical Bessel
functions <em>Y_n(x)</em> for <em>n</em> from <var>nmin</var> to <var>nmax</var>
inclusive, storing the results in the array <var>result_array</var>.  The
domain of the function is <em>x&gt;0</em>.  The values are computed using
recurrence relations for efficiency, and therefore may differ slightly
from the exact values.
</p></dd></dl>





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