Coefficient Estimates for Certain Subclasses of Sakaguchi Type Bi-Univalent Functions

Abstract

In this paper, we introduced certain Sakaguchi type subclasses of the function class $\Sigma$ of analytic and bi-univalent functions associated with quasi-subordination in the open unit disk $\mathbb{U}$. Estimates on the first two Taylor-MacLaurin coefficients $|a_{2}|$ and $|a_{3}|$ for functions belonging to these classes are determined. Certain special cases are also indicated.