A Novel Subclass of Univalent Functions Involving Operators of Fractional Calculus

2017/10/07 by P. N. Kamble, Kamble, P. N., Mallikarjun G. Shrigan +3
Mathematics · #30C45 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1710.02688

openalex publication_date 2017/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce and investigate a novel class of analytic and univalent functions of negative coefficients in the open unit disk. For this function class, we obtain characterization and distortion theorems as well as the radii of close-to-convexity, starlikeness and convexity by using fractional calculus techniques.

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