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Coefficient Bounds and Fekete–Szegö Inequalities for a New Family of Bi‐Univalent Functions Associated With Horadam Polynomial

Year: 2026

Type: article

Abstract: We define in this paper a new class of normalized bi‐univalent functions through Horadam polynomials. The main aim of this paper is to provide sharp estimates for the second and third Taylor–Maclaurin coefficients of functions in this new class. We also obtain the Fekete–Szegö inequality for these functions. By properly specializing the parameters in our main results, we also show that several previously known results as well as new coefficient estimates for related subclasses follow as direct consequences.

Source: Journal of Mathematics

DOI: 10.1155/jom/8738107

Authors: Musthafa Ibrahim, Jihad Younis, Ali N. A. Koam, Mohammad Uzair Shah

Institutions: University of Buraimi, University of Aden, Jazan University, East China Normal 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: $2,160

OpenAlex ID: W7204196806

FWCI:

Cites: 15

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Related to: 10