Functional inequalities for the Fox-Wright functions

DOI10.1007/s11139-018-0071-2zbMath1431.33007arXiv1708.06611OpenAlexW2964223257MaRDI QIDQ2011347

Khaled Mehrez, Sergeĭ Mikhaĭlovich Sitnik

Publication date: 6 December 2019

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06611

zbMATH Keywords

hypergeometric functionsTurán-type inequalitiesFox-Wright functionsfour-parametric Mittag-Leffler functionsLazarević and Wilker-type inequalities

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Generalized hypergeometric series, ({}_pF_q) (33C20) Inequalities involving other types of functions (26D07)

Related Items (12)

Integral representation and computational properties of the incomplete Fox-Wright function ⋮ The Modified-Half-Normal distribution: Properties and an efficient sampling scheme ⋮ Turán inequalities and complete monotonicity for a class of entire functions ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Generating functions involving the Fox-Wright functions ⋮ New integral representations for the Fox-Wright functions and its applications. II ⋮ The Fox-Wright function near the singularity and the branch cut ⋮ Positivity of certain classes of functions related to the Fox \(H\)-functions with applications ⋮ New summation formulas of Fox-Wright-type series containing the polygamma functions ⋮ Some geometric properties of a class of functions related to the Fox-Wright functions ⋮ Functional estimates and integral inequalities for the Fox-Wright function ⋮ Functional inequalities for the generalized Wright functions

Cites Work

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• Proofs of some conjectures on monotonicity of ratios of Kummer, Gauss and generalized hypergeometric functions
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Turán type inequalities for classical and generalized Mittag-Leffler functions
• A Kummer-type transformation for a \(_{2}F_{2}\) hypergeometric function
• Functional inequalities for the Mittag-Leffler functions
• Functional inequalities for the Wright functions
• Asymptotic expansions and inequalities for hypergeometric function
• On Wilker-type inequalities
• Analytic Inequalities

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