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) Get a printed copy>>>

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7.32.4 Eta Function

The eta function is defined by \eta(s) = (1-2^{1-s}) \zeta(s).

Function: double gsl_sf_eta_int (int n)

Function: int gsl_sf_eta_int_e (int n, gsl_sf_result * result)

These routines compute the eta function \eta(n) for integer n.

Function: double gsl_sf_eta (double s)

Function: int gsl_sf_eta_e (double s, gsl_sf_result * result)

These routines compute the eta function \eta(s) for arbitrary s.