Geometric properties of a certain class of functions related to the Fox-Wright functions

2019/03/12 by Khaled Mehrez, Mehrez, Khaled
Materials Science · Mathematics · #30C45 #30D15 #33C10 #Analytic and geometric function theory #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory #Polymer Synthesis and Characterization

paper · pdf · doi:10.48550/arxiv.1903.05151

openalex publication_date 2019/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to provide a set of sufficient conditions so that the normalized form of the Fox-Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disc. In particular, we study some geometric properties for some class of functions related to the generalized hypergeometric functions.

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