Applications of Horadam Polynomials for Bazilevi? and -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 D-Sigma(delta,eta,lambda,t,r). These functions are connected to the Bazilevi & ccaron; functions and the lambda-pseudo-starlike functions. We employ Sakaguchi Type Functions and Horadam polynomials in our survey. We establish the Fekete-Szego inequality for the functions in D-Sigma(delta,eta,lambda,t,r) and derive upper bounds for the initial Taylor-Maclaurin coefficients |a(2)| and |a3|. Additionally, we establish connections between our results and previous research papers on this topic.