A new Kapteyn series

DOI10.1080/10652460701320695zbMath1121.33004arXivmath/0510050OpenAlexW1989759350MaRDI QIDQ5297961

Diego Ernesto Dominici

Publication date: 16 July 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510050

zbMATH Keywords

Bessel functionsKapteyn series

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (5)

A review of procedures for summing Kapteyn series in mathematical physics ⋮ On Taylor series and Kapteyn series of the first and second type ⋮ On an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansion ⋮ A Sequence of Polynomials Generated by a Kapteyn Series of the Second Kind ⋮ Integral representation of first kind Kapteyn series

Cites Work

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