GNU Scientific Library Reference Manual - Third Edition (v1.12)by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi Paperback (6"x9"), 592 pages, 60 figures ISBN 0954612078 RRP £24.95 ($39.95) |

## 28.5 Derivatives and Integrals

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`.

ISBN 0954612078 | GNU Scientific Library Reference Manual - Third Edition (v1.12) | See the print edition |