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The group ”numerical analysis”: On the computation of Mathieu functions. (English) Zbl 0248.65013
MSC:
65D20Computation of special functions, construction of tables
33E10Lamé, Mathieu, and spheroidal wave functions
References:
[1]N. W. McLachlan,Theory and applications of Mathieu functions, Clarendon Press, Oxford, England, 1947.
[2]M. Abramowitz and I. Stegun, Handbook of Mathematical Functions N.B.S.,Applied Mathematical Series 55, U. S. Government Printing Office, Washington D.C., 1964.
[3]G. Blanch, Numerical evaluation of continued fractions,Siam Review 6, p. 383, 1964. · Zbl 0133.38904 · doi:10.1137/1006092
[4]D. J. Green and S. Michaelson, Series solution of certain Sturm Liouville eigenvalue problems,The Computer Journal 7, p. 322, 1965.
[5]J. H. Wilkinson,The algebraic eigenvalue problem, 1965.
[6]Mathematical tables 5, tables 12 and 14, p. 31 and 33.
[7]J. H. Wilkinson, Rigorous error bounds for computed eigensystems.The Computer Journal 4, p. 230.