New integral representations for the Fox-Wright functions and its applications. II

DOI10.3103/S1068362321010052zbMath1469.33007arXiv1811.06352OpenAlexW3176066477MaRDI QIDQ2030184

Khaled Mehrez

Publication date: 7 June 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.06352

zbMATH Keywords

log-convexityFox's \(H\)-functioncomplete monotonicityTurán type inequalitiesFox-Wright functiongeneralized Stieltjes function

Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Laplace transform (44A10) Other functions defined by series and integrals (33E20) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items

Integral representation and computational properties of the incomplete Fox-Wright function ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Generating functions involving the Fox-Wright functions ⋮ 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 ⋮ Integral transforms and probability distributions for a certain class of fox-wright type functions and its applications

Uses Software

• DLMF

Cites Work

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• Functional inequalities for the Fox-Wright functions
• Some new facts concerning the delta neutral case of Fox's \(H\) function
• Some Mathieu-type series associated with the Fox-Wright function
• Functional inequalities for the Mittag-Leffler functions
• Functional inequalities for the Wright functions
• The H-Function
• Monotonicity patterns and functional inequalities for classical and generalized Wright functions
• The Asymptotic Expansion of the Generalized Hypergeometric Function