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The main purpose of this article is to make use of the Horadam polynomialsand the generating function,   in order to introduce three new subclasses of the bi-univalent function classFor functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Szego inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.

Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials