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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
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7.28.3 Polygamma Function

Function: double gsl_sf_psi_n (int n, double x)
Function: int gsl_sf_psi_n_e (int n, double x, gsl_sf_result * result)
These routines compute the polygamma function \psi^{(n)}(x) for n >= 0, x > 0.
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition