On the summation of Fourier and Bessel series

DOI10.1006/jmaa.1995.1235zbMath0845.42004OpenAlexW2016269328MaRDI QIDQ1900654

Michael David Rawn

Publication date: 16 September 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1235

zbMATH Keywords

Bessel functionsBessel summationsFourier summation formulae

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Trigonometric and exponential sums (general theory) (11L03) Summability and absolute summability of Fourier and trigonometric series (42A24)

Related Items (7)

On certain Schlömilch-type series ⋮ On some definite integrals and infinite sums containing products of special functions ⋮ Integral representations and summations of the modified Struve function ⋮ Summations of Schlömilch series containing some Lommel functions of the first kind terms ⋮ On the properties of zeros of Bessel series in the real line ⋮ Summations of Schlömilch series containing modified Bessel function of the second kind terms ⋮ A method for summing Bessel series and a couple of illustrative examples

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