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Next: <a href="Zeros-of-Regular-Bessel-Functions.html#Zeros-of-Regular-Bessel-Functions" accesskey="n" rel="next">Zeros of Regular Bessel Functions</a>, Previous: <a href="Regular-Modified-Bessel-Functions-_002d-Fractional-Order.html#Regular-Modified-Bessel-Functions-_002d-Fractional-Order" accesskey="p" rel="previous">Regular Modified Bessel Functions - Fractional Order</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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<a name="Irregular-Modified-Bessel-Functions_002d_002d_002dFractional-Order"></a>
<h4 class="subsection">7.5.12 Irregular Modified Bessel Functions&mdash;Fractional Order</h4>
<a name="index-Irregular-Modified-Bessel-Functions_002c-Fractional-Order"></a>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fKnu"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Knu</strong> <em>(double <var>nu</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fKnu_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Knu_e</strong> <em>(double <var>nu</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the irregular modified Bessel function of
fractional order <em>\nu</em>, <em>K_\nu(x)</em> for <em>x&gt;0</em>,
<em>\nu&gt;0</em>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005flnKnu"></a>Function: <em>double</em> <strong>gsl_sf_bessel_lnKnu</strong> <em>(double <var>nu</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005flnKnu_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_lnKnu_e</strong> <em>(double <var>nu</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the logarithm of the irregular modified Bessel
function of fractional order <em>\nu</em>, <em>\ln(K_\nu(x))</em> for
<em>x&gt;0</em>, <em>\nu&gt;0</em>. 
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fsf_005fbessel_005fKnu_005fscaled"></a>Function: <em>double</em> <strong>gsl_sf_bessel_Knu_scaled</strong> <em>(double <var>nu</var>, double <var>x</var>)</em></dt>
<dt><a name="index-gsl_005fsf_005fbessel_005fKnu_005fscaled_005fe"></a>Function: <em>int</em> <strong>gsl_sf_bessel_Knu_scaled_e</strong> <em>(double <var>nu</var>, double <var>x</var>, gsl_sf_result * <var>result</var>)</em></dt>
<dd><p>These routines compute the scaled irregular modified Bessel function of
fractional order <em>\nu</em>, <em>\exp(+|x|) K_\nu(x)</em> for <em>x&gt;0</em>,
<em>\nu&gt;0</em>.
</p></dd></dl>




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