Work

A Subclass of Bi-univalent Functions Defined by aSymmetric q-Derivative Operator and Gegenbauer Polynomials

Year: 2024

Type: article

Abstract: This paper introduces a novel subclass of bi-univalent analytic functions by utilizing a symmetric q-derivative operator in conjunction with Gegenbauer polynomials. Within this newly defined subclass, we derive bounds for the first two Maclaurin coefficients and address the Fekete-Szeg o problem. By varying the parameters in our results between 0 and 1, we obtain a range of new insights and rediscover some previously established results. This approach not only broadens the scope of bi-univalent function theory but also deepens the understanding of coefficient bounds and extremal problems within this context.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v17i4.5408

Authors: Mohamed Illafe, Maisarah Haji Mohd, Feras Yousef, Shamani Supramaniam

Institutions: Navajo Technical University, Universiti Sains Malaysia, University of Jordan, Jadara University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: University of Jordan

OpenAlex ID: W4403934019

FWCI: 4.199

Cites:

Cited by: 6

Related to: 10