Work

Bounds for the Second Hankel Determinant of a General Subclass of Bi-Univalent Functions

Year: 2024

Type: article

Abstract: The Hankel determinant, which plays a significant role in the theory of univalent functions, is investigated here in the context of bi-univalent analytic functions. Specifically, this paper is dedicated to deriving an upper-bound estimate for the second-order Hankel determinant for a general subclass of bi-univalent analytic functions that incorporate Gegenbauer polynomials within the unit disk. Through the careful specialization of parameters in our main result, we unveil several novel findings.

Source: International Journal of Mathematical Engineering and Management Sciences

DOI: 10.33889/ijmems.2024.9.5.065

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

Institutions: Universiti Sains Malaysia, Navajo Technical University, 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: gold

Estimated APC paid: $500

OpenAlex ID: W4401864123

FWCI: 3.351

Cites: 38

Cited by: 5

Related to: 10