Generalized Volterra functions, its integral representations and applications to the Mathieu-type series

DOI10.1016/j.amc.2018.11.004zbMath1428.33003arXiv1805.11540OpenAlexW2805319326WikidataQ128845264 ScholiaQ128845264MaRDI QIDQ2008540

Khaled Mehrez, Sergeĭ Mikhaĭlovich Sitnik

Publication date: 26 November 2019

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

Full work available at URL: https://arxiv.org/abs/1805.11540

zbMATH Keywords

complete monotonicityTurán type inequalitieslog-convex functionsMathieu-type seriesgeneralized Volterra functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Convexity of real functions in one variable, generalizations (26A51) (q)-gamma functions, (q)-beta functions and integrals (33D05) Hurwitz and Lerch zeta functions (11M35)

Related Items (5)

Unnamed Item ⋮ Generalization of the quotient mean series ⋮ New properties for several classes of functions related to the Fox-Wright functions ⋮ On Mathieu-type series for the unified Gaussian hypergeometric functions ⋮ Monotonicity patterns and functional inequalities for classical and generalized Wright functions

Cites Work

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• Analytic Inequalities

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