Special Subfamilies of Holomorphic and Bi-univalent Functions related to Quasi-subordination

Abstract

In the current work, special subfamilies of holomorphic bi-univalent functions based on quasi-subordination are introduced. Initial coefficient estimates for functions belonging to these subfamilies are established. Several consequences of our results and connections to known families are indicated. 1 Preliminaries Let A be the set of normalized holomorphic functions that have the form