Some geometric properties of a class of functions related to the Fox-Wright functions

DOI10.1007/s43037-020-00059-wzbMath1443.30010arXiv1903.05151OpenAlexW3011857357MaRDI QIDQ778779

Khaled Mehrez

Publication date: 20 July 2020

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05151

zbMATH Keywords

convex functionsclose-to-convex functionsstar-like functionsFox-Wright function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (14)

The normalized Miller-Ross function and its geometric properties ⋮ Integral representation and computational properties of the incomplete Fox-Wright function ⋮ Generalized Lommel-Wright function and its geometric properties ⋮ Normalized generalized Bessel function and its geometric properties ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Study of the analytic function related to the Le-Roy-type Mittag-Leffler function ⋮ Geometric properties of normalized Le Roy-type Mittag-Leffler functions ⋮ Integrals of ratios of Fox-Wright and incomplete Fox-Wright functions with applications ⋮ Generating functions involving the Fox-Wright functions ⋮ Geometric properties of the products of modified Bessel functions of the first kind ⋮ 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 ⋮ On some geometric properties of the Le Roy-type Mittag-Leffler function

Cites Work

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• Über totalmonotone Zahlenfolgen
• New integral representations for the Fox-Wright functions and its applications
• Functional inequalities for the Fox-Wright functions
• New properties for several classes of functions related to the Fox-Wright functions
• Some Mathieu-type series associated with the Fox-Wright function
• The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
• Close-to-convex schlicht functions
• Certain geometric properties of the Mittag-Leffler functions
• Subordinating Factor Sequences for Convex Maps of the Unit Circle
• Univalence of Gaussian and Confluent Hypergeometric Functions
• Geometric properties for convolutions of hypergeometric functions and functions with the derivative in a halfplane
• Certain geometric properties of the Wright function
• The radius of univalence of certain analytic functions
• The Asymptotic Expansion of the Generalized Hypergeometric Function

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