Functional inequalities for the Wright functions

DOI10.1080/10652469.2016.1254628zbMath1364.33010OpenAlexW2550001608MaRDI QIDQ2968814

Khaled Mehrez

Publication date: 22 March 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2016.1254628

zbMATH Keywords

Wright functionTurán-type inequalitiesWilker's inequalityLazarević-type inequalityRedheffer's type inequality

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items

Some new inequalities for the generalized Fox-Wright functions ⋮ Monotonicity criterion and integrals formulas for the Mittag-Leffler function with applications ⋮ Extension of Huygens type inequalities for Bessel and modified Bessel Functions ⋮ Turán type inequalities for q-Mittag-Leffler and q-Wright functions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Explicit solution for a two-phase fractional Stefan problem with a heat flux condition at the fixed face ⋮ Asymptotic analysis of the Wright function with a large parameter ⋮ Generalized Volterra functions, its integral representations and applications to the Mathieu-type series ⋮ Functional inequalities for the Fox-Wright functions ⋮ Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions ⋮ New integral representations for the Fox-Wright functions and its applications. II ⋮ New properties for several classes of functions related to the Fox-Wright functions ⋮ Monotonicity patterns and functional inequalities for classical and generalized Wright functions ⋮ Functional inequalities for the generalized Wright functions

Cites Work

• Redheffer type inequalities for modified Bessel functions
• Functional inequalities involving Bessel and modified Bessel functions of the first kind
• Inequalities for quasiconformal mappings in space
• A Turán Inequality Arising in Information Theory
• Asymptotic expansions and inequalities for hypergeometric function
• On the Coefficients of Power Series Having Exponential Singularities
• TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS
• On Wilker-type inequalities
• Turán-type inequalities for Struve, modified Struve and Anger–Weber functions
• Analytic Inequalities