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<title>Regular Bessel Function - Fractional Order - GNU Scientific Library -- Reference Manual</title>
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<h4 class="subsection">7.5.9 Regular Bessel Function—Fractional Order</h4>
<p><a name="index-Fractional-Order-Bessel-Functions-360"></a><a name="index-Bessel-Functions_002c-Fractional-Order-361"></a><a name="index-Regular-Bessel-Functions_002c-Fractional-Order-362"></a>
<div class="defun">
— Function: double <b>gsl_sf_bessel_Jnu</b> (<var>double nu, double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJnu-363"></a></var><br>
— Function: int <b>gsl_sf_bessel_Jnu_e</b> (<var>double nu, double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJnu_005fe-364"></a></var><br>
<blockquote><p>These routines compute the regular cylindrical Bessel function of
fractional order \nu, J_\nu(x).
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_sf_bessel_sequence_Jnu_e</b> (<var>double nu, gsl_mode_t mode, size_t size, double v</var>[])<var><a name="index-gsl_005fsf_005fbessel_005fsequence_005fJnu_005fe-365"></a></var><br>
<blockquote><p>This function computes the regular cylindrical Bessel function of
fractional order \nu, J_\nu(x), evaluated at a series of
x values. The array <var>v</var> of length <var>size</var> contains the
x values. They are assumed to be strictly ordered and positive.
The array is over-written with the values of J_\nu(x_i).
<!-- Exceptional Return Values: GSL_EDOM, GSL_EINVAL -->
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