Coefficient Bounds for a Certain Class of Analytic and Bi-Univalent Functions

Abstract

In this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. By using theFaber polynomial expansions, we obtain upper bounds for the coefficients of functions belonging to this analytic and bi-univalent function class. Some interesting recent developments involving othersubclasses of analytic and bi-univalent functions are also briefly mentioned.