Summations of Schlömilch series containing some Lommel functions of the first kind terms

DOI10.1080/10652469.2015.1111888zbMath1337.33004OpenAlexW2300556296MaRDI QIDQ2790240

Dragana Jankov Maširević

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1080/10652469.2015.1111888

zbMATH Keywords

Lommel functionSchlömilch series

Mathematics Subject Classification ID

Integral methods for summability (40C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical summation of series (65B10)

Related Items (2)

On the summation of Schlömilch's series ⋮ On Hurwitz zeta function and Lommel functions

Cites Work

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• Closed expressions for some infinite series of Bessel and Struve functions
• On certain Schlömilch-type series
• On the Mellin transform of products of Bessel and generalized hypergeometric functions
• On the summation of Fourier and Bessel series
• The zeros of certain Lommel functions
• Integral representations for the exceptional univariate Lommel functions
• New integral representations of the polylogarithm function

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