Multi-parameter Mathieu, and alternating Mathieu series

DOI10.1016/j.amc.2021.126099OpenAlexW3131935963MaRDI QIDQ2242701

Tibor K. Pogány, Gradimir V. Milovanović, Rakesh Kumar Parmar

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126099

zbMATH Keywords

Riemann zeta functionLaplace transformsMellin transformslog-convexityTurán inequalityDirichlet eta functionfunctional bounding inequalitiesgeneralized Weber-schafheitlin integrallauricellas hypergeometric functionsMathieu and alternating Mathieu series

Mathematics Subject Classification ID

Laplace transform (44A10) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Convexity of real functions in one variable, generalizations (26A51) Appell, Horn and Lauricella functions (33C65) Elliptic functions and integrals (33E05)

Related Items (4)

Asymptotic expansion for generalized Mathieu series ⋮ Some families of the general Mathieu‐type series with associated properties and functional inequalities ⋮ Extension of Mathieu series and alternating Mathieu series involving the Neumann function \(Y_{\nu}\) ⋮ Unnamed Item

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