A Novel Subclass of Univalent Functions Involving Operators of Fractional Calculus

TL;DR

This paper introduces a new class of univalent functions involving fractional calculus, providing characterizations, distortion theorems, and radii of geometric properties within the open unit disk.

Contribution

It defines a novel subclass of univalent functions with negative coefficients and applies fractional calculus to analyze their geometric properties.

Findings

Characterization and distortion theorems established

Radii of close-to-convexity, starlikeness, convexity determined

Fractional calculus techniques effectively used in analysis

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.