In this present article, we studied and examined the novel general subclasses of the function class Σ of bi-univalent function defined in the open unit disk, which are associated with the Horadam polynomial. This study locates estimates on the Taylor -Maclaurin coefficients |a 2 | and |a 3 | in functions of the class which are considered. Additionally, Fekete-Szegö inequality of functions belonging to this subclasses are also obtained.
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