Mathematics of Computation

Author(s): G. C. Kokkorakis; J. A. Roumeliotis.
Journal: Math. Comp. 70 (2001), 1221-1235.
MSC (2000): Primary 33E10
Posted: February 23, 2000
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Power series expansions for the even and odd angular Mathieu functions $\operatorname{Se}_m(h,\operatorname{cos}\theta)$ and $\operatorname{So}_m(h,\operatorname{cos}\theta)$ , with small argument

, are derived for general integer values of

. The expansion coefficients that we evaluate are also useful for the calculation of the corresponding radial functions of any kind.

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G. C. Kokkorakis
Affiliation: Department of Electrical and Computer Engineering, National Technical University of Athens, Athens 15773, Greece

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