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Power series expansions for Mathieu functions with small arguments - MaRDI portal

Power series expansions for Mathieu functions with small arguments (Q2719075)

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scientific article; zbMATH DE number 1597963
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Power series expansions for Mathieu functions with small arguments
scientific article; zbMATH DE number 1597963

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    Power series expansions for Mathieu functions with small arguments (English)
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    14 May 2001
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    radial Mathieu functions
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    expansion coefficients
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    angular Mathieu functions
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    Power series expansions for even and odd Mathieu functions \(Se_m (h,\cos \theta)\) and \(So_m(h,\cos \theta)\), \(m\) an integer, are obtained in this paper for small values of \(h\). The expansion coefficients evaluated here can be used for the calculation of the corresponding radial Mathieu functions of any kind.
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