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The group ”numerical analysis”: On the computation of Mathieu functions. (English) Zbl 0248.65013

65D20Computation of special functions, construction of tables
33E10Lamé, Mathieu, and spheroidal wave functions
Full Text: DOI
[1] N. W. McLachlan,Theory and applications of Mathieu functions, Clarendon Press, Oxford, England, 1947. · Zbl 0029.02901
[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. · Zbl 0171.38503
[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. · Zbl 0132.36501
[5] J. H. Wilkinson,The algebraic eigenvalue problem, 1965. · Zbl 0258.65037
[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. · Zbl 0109.34504