On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function

DOI10.1016/j.mcm.2007.06.015zbMath1144.33301OpenAlexW2022886800MaRDI QIDQ947869

Živorad Tomovski, Tibor K. Pogány

Publication date: 8 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.06.015

zbMATH Keywords

Dirichlet seriesintegral representationsincomplete gamma-functionMeijer's \(G\)-functionLaplace integraland alternating Mathieu \(\mathbf a\)-seriesexponential bilateral bounding inequalities for hypergeometric functionsgeneralized hypergeometric function \(\mathbf a\)Mathieu \(\mathbf a\)-

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)

Related Items (7)

Some Mathieu-type series associated with the Fox-Wright function ⋮ On properties and applications of \((p, q)\)-extended \(\tau\)-hypergeometric functions ⋮ Multi-parameter Mathieu, and alternating Mathieu series ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Mathieu series and associated sums involving the zeta functions ⋮ Some Mathieu-type series for generalizedH-function associated with a certain class of Feynman integrals ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions

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