Expansions of sequences and entire functions in the Mathieu and Neumann biorthogonal bases

DOI10.1080/10652469.2011.629200zbMath1259.33033OpenAlexW1983928597MaRDI QIDQ3144961

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Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.629200

zbMATH Keywords

entire functionsBessel functionsNeumann seriesMathieu functionssampling formulaebiorthogonal expansions

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Lamé, Mathieu, and spheroidal wave functions (33E10)

Cites Work

• Relations between Mathieu functions of the first and second kind
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