Work

Properties of a Subclass of Harmonic Univalent Functions Using the Al-Oboudi $q-$Differential Operator

Year: 2025

Type: article

Abstract: In this paper, we introduce the Al-Oboudi $q-$differential operator, a generalized S\u{a}l\u{a}gean operator, for harmonic functions and define a new subclass of harmonic univalent functions using this operator. We investigate several fundamental properties of this subclass, including coefficient conditions, extreme points, distortion bounds, convex combination, and radii of convexity.

Source: Fundamental Journal of Mathematics and Applications

DOI: 10.33401/fujma.1549452

Author: Serkan Çakmak

Institution: İstanbul Gelişim Üniversitesi

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411715524

FWCI: 1.865

Cites: 18

Cited by: 1

Related to: 10