Coefficient Estimates For Several Classes Of Bi-univalent Functions

In this paper, we apply the univalent criteria to establish the subclasses of bi-univalent functions and investigated the bounds of initial coefficients by using the methods different from that used by other authors, we got the results which improve or generalize the recent works of other authors.This article is composed of three parts.In the first part, some basic concepts and symbols of classes are introduced for preparation. The main theories quoted by this article are provided.In the second part, several classes of bi-univalent functions is defined, and we investigated the bounds of initial coefficients for these subclasses of bi-univalent functions.In the third part, I give the summaries of this paper and expectations in the future.