Work

On a Unified Subclass of Analytic Functions with Negative Coefficients Defined via a Generalized q-Calculus Operator

Year: 2025

Type: article

Abstract: We introduce and analyze a subclass of analytic functions with negative coefficients, denoted by Pq,σm,ℓ,p(α,η), constructed through a generalized q-calculus operator in combination with a multiplier-type transformation. For this class, we obtain sharp coefficient bounds, growth and distortion estimates, and closure results. The radii of close-to-convexity, starlikeness, and convexity are determined, and further consequences, such as integral means inequalities and neighborhood characterizations, are derived. The results presented provide a broad framework that incorporates and extends several earlier families of analytic and geometric function classes.

Source: AppliedMath

DOI: 10.3390/appliedmath5040158

Authors: Mohamed Illafe, Feras Yousef

Institutions: Navajo Technical University, University of Benghazi, University of Jordan, Hampton University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,207

OpenAlex ID: W4415988303

FWCI: 1.775

Cites: 8

Cited by: 1

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