This paper introduces and explores a novel subclass R_^h, p (, ) of bi-univalent functions within the open unit disk 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.
Hosseini et al. (Sun,) studied this question.