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<title>Regular Cylindrical Bessel Functions - GNU Scientific Library -- Reference Manual</title>
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<a name="Regular-Cylindrical-Bessel-Functions"></a>
Next: <a rel="next" accesskey="n" href="Irregular-Cylindrical-Bessel-Functions.html">Irregular Cylindrical Bessel Functions</a>,
Up: <a rel="up" accesskey="u" href="Bessel-Functions.html">Bessel Functions</a>
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<h4 class="subsection">7.5.1 Regular Cylindrical Bessel Functions</h4>
<p><a name="index-Cylindrical-Bessel-Functions-269"></a><a name="index-Regular-Cylindrical-Bessel-Functions-270"></a>
<div class="defun">
— Function: double <b>gsl_sf_bessel_J0</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJ0-271"></a></var><br>
— Function: int <b>gsl_sf_bessel_J0_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJ0_005fe-272"></a></var><br>
<blockquote><p>These routines compute the regular cylindrical Bessel function of zeroth
order, J_0(x).
<!-- Exceptional Return Values: none -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_bessel_J1</b> (<var>double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJ1-273"></a></var><br>
— Function: int <b>gsl_sf_bessel_J1_e</b> (<var>double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJ1_005fe-274"></a></var><br>
<blockquote><p>These routines compute the regular cylindrical Bessel function of first
order, J_1(x).
<!-- Exceptional Return Values: GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: double <b>gsl_sf_bessel_Jn</b> (<var>int n, double x</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJn-275"></a></var><br>
— Function: int <b>gsl_sf_bessel_Jn_e</b> (<var>int n, double x, gsl_sf_result * result</var>)<var><a name="index-gsl_005fsf_005fbessel_005fJn_005fe-276"></a></var><br>
<blockquote><p>These routines compute the regular cylindrical Bessel function of
order <var>n</var>, J_n(x).
<!-- Exceptional Return Values: GSL_EUNDRFLW -->
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_sf_bessel_Jn_array</b> (<var>int nmin, int nmax, double x, double result_array</var>[])<var><a name="index-gsl_005fsf_005fbessel_005fJn_005farray-277"></a></var><br>
<blockquote><p>This routine computes the values of the regular cylindrical Bessel
functions J_n(x) for n from <var>nmin</var> to <var>nmax</var>
inclusive, storing the results in the array <var>result_array</var>. The
values are computed using recurrence relations for efficiency, and
therefore may differ slightly from the exact values.
<!-- Exceptional Return Values: GSL_EDOM, GSL_EUNDRFLW -->
</p></blockquote></div>
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