Methods for summing general Kapteyn series

DOI10.1088/1751-8113/44/38/385202zbMath1236.33012arXiv1108.2583OpenAlexW2000220511MaRDI QIDQ3094782

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Publication date: 27 October 2011

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2583

zbMATH Keywords

trigonometric seriesclosed-formKapteyn seriesgamma function series

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (2)

Integral representations and summations of the modified Struve function ⋮ A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind

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