Integral representation of Schlömilch series

DOI10.7153/jca-01-08zbMath1412.40025OpenAlexW2563098706MaRDI QIDQ3120674

Tibor K. Pogány, Dragana Jankov

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-01-08

zbMATH Keywords

Dirichlet seriesSchlömilch seriesKapteyn seriesBessel functions of the first and second kindLaplace integral expression of Dirichlet seriesnonhomogeneous Bessel differential equation

Mathematics Subject Classification ID

Integral methods for summability (40C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (3)

\(p\)-extended Mathieu series from the Schlömilch series point of view ⋮ Integral representations and summations of the modified Struve function ⋮ On the Riesz constants for systems of integer translates

Cites Work

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• Elementary function representations of Schlömilch series
• The efficient summation of Schlömilch series of cylindrical functions
• Integral representation for Neumann series of Bessel functions
• m-Dimensional Schlömilch Series
• Integral representation of first kind Kapteyn series

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