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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.

- Function:
*int***gsl_cheb_calc_deriv***(gsl_cheb_series **`deriv`, const gsl_cheb_series *`cs`) This function computes the derivative of the series

`cs`, storing the derivative coefficients in the previously allocated`deriv`. The two series`cs`and`deriv`must have been allocated with the same order.

- Function:
*int***gsl_cheb_calc_integ***(gsl_cheb_series **`integ`, const gsl_cheb_series *`cs`) This function computes the integral of the series

`cs`, storing the integral coefficients in the previously allocated`integ`. The two series`cs`and`integ`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`a`.