Bi-Univalent Coefficient Estimates for Certain Subclasses of Close-to-Convex Functions

Abstract

In this paper,we introduce two new subclasses of the function class $\Sigma$ of Bi-univalent functions defined in the open unit disk $\mathbb{U}=\left\{z:\left|z\right|<1\right\}$. Besides, we find estimates on the coefficients $\left|a_{2}\right|$ and $\left|a_{3}\right|$ for functions in these new subclasses.