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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
Paperback (6"x9"), 592 pages, 60 figures
ISBN 0954612078
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7.26.2 Mathieu Function Characteristic Values

Function: int gsl_sf_mathieu_a (int n, double q, gsl_sf_result *result)
Function: int gsl_sf_mathieu_b (int n, double q, gsl_sf_result *result)
These routines compute the characteristic values a_n(q), b_n(q) of the Mathieu functions ce_n(q,x) and se_n(q,x), respectively.
Function: int gsl_sf_mathieu_a_array (int order_min, int order_max, double q, gsl_sf_mathieu_workspace *work, double result_array[])
Function: int gsl_sf_mathieu_b_array (int order_min, int order_max, double q, gsl_sf_mathieu_workspace *work, double result_array[])
These routines compute a series of Mathieu characteristic values a_n(q), b_n(q) for n from order_min to order_max inclusive, storing the results in the array result_array.
ISBN 0954612078GNU Scientific Library Reference Manual - Third Edition (v1.12)See the print edition