Integral representation of a series which includes the Mathieu \(\mathbf a\)-series

DOI10.1016/j.jmaa.2004.04.020zbMath1129.33012OpenAlexW2089236588MaRDI QIDQ1876749

Tibor K. Pogány

Publication date: 20 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.04.020

zbMATH Keywords

Dirichlet seriesLaplace integralGauß hypergeometric functionBessel function of first kindGauß Mathieu seriesgeneralized Mathieu seriesMathieu \(a\)-series

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20)

Related Items (16)

Some Mathieu-type series associated with the Fox-Wright function ⋮ On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions ⋮ Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula ⋮ On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function ⋮ Multi-parameter Mathieu, and alternating Mathieu series ⋮ Integral expressions for Mathieu-type series whose terms contain Fox's \(H\)-function ⋮ Some new bounds for Mathieu's series ⋮ Integral representations and summations of the modified Struve function ⋮ Generalized Volterra functions, its integral representations and applications to the Mathieu-type series ⋮ Some families of Mathieu \(\mathbf a\)-series and alternating Mathieu \(\mathbf a\)-series ⋮ Mathieu series and associated sums involving the zeta functions ⋮ Some Mathieu-type series for generalizedH-function associated with a certain class of Feynman integrals ⋮ Second type Neumann series of generalized Nicholson function ⋮ Unnamed Item ⋮ On multiple generalized Mathieu series ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions

Cites Work

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