On Mathieu-type series for the unified Gaussian hypergeometric functions

DOI10.2298/AADM190525014PzbMath1474.33041OpenAlexW3015695332MaRDI QIDQ4988985

Tibor K. Pogány, Rakesh Kumar Parmar

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm190525014p

zbMATH Keywords

integral representationMathieu-type seriesCahen formulageneralized \(p\)-extended beta functiongeneralized \(p\)-Gaussian function

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

Extended elliptic-type integrals with associated properties and Turán-type inequalities ⋮ Some families of the general Mathieu‐type series with associated properties and functional inequalities ⋮ Bounds for the (45d,;d)-extended Beta function and certain consequences ⋮ Extension of Mathieu series and alternating Mathieu series involving the Neumann function \(Y_{\nu}\) ⋮ Unnamed Item

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