Applications of Horadam Polynomials for Bi-univalent Functions associated with Gamma-Starlike Function

This study presents a novel subclass of analytic and bi-univalent functions within the open unit disk, utilizing Horadam polynomials related to Gamma-starlike functions. Our primary focus is on deriving upper bounds for the second and third Taylor-Maclaurin coefficients of functions belonging to this subclass. We employ subordination techniques and properties of Horadam polynomials to establish these coefficient estimates.