Coefficient estimates for a subclass of bi-univalent functions defined by the Salagean operator and Horadam polynomials

Document Type : Original Article

Authors

Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran

10.22091/maa.2026.16421.1061

Abstract

In this paper, we introduce and investigate a new subclass of analytic bi-univalent functions in the open unit disk $\mathbb{U}$, defined by means of subordination and the Salagean differential operator associated with the Horadam polynomials. We derive sharp upper bounds for the second and third Taylor-Maclaurin coefficients of functions belonging to this subclass and investigate the corresponding Fekete-Szeg\"{o} problem. The results presented here generalize and extend several previously established results available in the literature

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