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

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

Journal of Mathematics, 2026, vol. 2026, 1-8

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8738107

DOI: 10.1155/jom/8738107

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