New Applications of Quasi-Subordination for Bi-univalent Functions Title

Abstract

In the present paper, we introduce and define new two subclasses H_?^q (?,?,?,?) and J_?^q (?,?) of the function class ? of bi-univalent functions in the open unit disk U, by using quasi-subordination conditions and determine estimates of the coefficients |a_2 | and |a_3 | for functions of these subclasses. Also, consequences of the results are pointed out.