Applications of Horadam Polynomials for Bazilevič and λ-Pseudo-Starlike Bi-Univalent Functions Associated with Sakaguchi Type Functions

In this study, we introduce a new class of normalized analytic and bi-univalent functions denoted by (Formula presented.). These functions are connected to the Bazilevič functions and the (Formula presented.) -pseudo-starlike functions. We employ Sakaguchi Type Functions and Horadam polynomials in our survey. We establish the Fekete-Szegö inequality for the functions in (Formula presented.) and derive upper bounds for the initial Taylor–Maclaurin coefficients (Formula presented.) and (Formula presented.). Additionally, we establish connections between our results and previous research papers on this topic.