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<h3 class="section">29.5 Derivatives and Integrals</h3>
<p>The following functions allow a Chebyshev series to be differentiated or
integrated, producing a new Chebyshev series. Note that the error
estimate produced by evaluating the derivative series will be
underestimated due to the contribution of higher order terms being
neglected.
<div class="defun">
— Function: int <b>gsl_cheb_calc_deriv</b> (<var>gsl_cheb_series * deriv, const gsl_cheb_series * cs</var>)<var><a name="index-gsl_005fcheb_005fcalc_005fderiv-2306"></a></var><br>
<blockquote><p>This function computes the derivative of the series <var>cs</var>, storing
the derivative coefficients in the previously allocated <var>deriv</var>.
The two series <var>cs</var> and <var>deriv</var> must have been allocated with
the same order.
</p></blockquote></div>
<div class="defun">
— Function: int <b>gsl_cheb_calc_integ</b> (<var>gsl_cheb_series * integ, const gsl_cheb_series * cs</var>)<var><a name="index-gsl_005fcheb_005fcalc_005finteg-2307"></a></var><br>
<blockquote><p>This function computes the integral of the series <var>cs</var>, storing the
integral coefficients in the previously allocated <var>integ</var>. The two
series <var>cs</var> and <var>integ</var> must have been allocated with the same
order. The lower limit of the integration is taken to be the left hand
end of the range <var>a</var>.
</p></blockquote></div>
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