Power series expansions for spheroidal wave functions with small arguments

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Power series expansions for Mathieu functions with small arguments

Power series expansions for the even and odd angular Mathieu functions Sem(h, cos θ) and Som(h, cos θ), with small argument h, are derived for general integer values of m. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions of any kind.

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ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 2002

ISSN: 0377-0427

DOI: 10.1016/s0377-0427(01)00387-9