Coefficient Estimates for a Novel Subclass of Analytic and Biunivalent Functions

This paper introduces and explores a novel subclass $\mathcal{R}_{\Sigma}^{h,p}(\lambda,\gamma)$ of bi-univalent functions within the open unit disk $\mathbb{U}$. We establish upper bounds for the second, third, and fourth coefficients of functions belonging to this class. Furthermore, we derive estimates for the Fekete-Szegö problem in this context. The results, presented in this study extend and enhance several recent works by earlier authors.