On the Coefficients of Several Classes of Bi-univalent Functions Defined by Convolution

In this paper, we introduce several new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore,we investigate the bounds of the coefficients |a2|and|a3|for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors.