Coefficient estimates for a subclass of analytic and bi-univalent functions by an integral operator

Abstract

In this paper, we introduce and investigate a subclass $\mathcal{G}_{\Sigma}^{h,p}(\lambda,m,n, \alpha,\gamma)$ of bi-univalent functions in the open unit disk $\mathbb{U}$. Upper bounds for this class's second and third coefficients of functions are found. The results, which we have presented in this paper, would generalize and improve some recent works of several earlier authors.