On a new subclass of bi-univalent functions

Abstract

The purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients ∣a2∣ and ∣a3∣ for functions of this class. Relevant connections of the results presented here with various well-known results are briefly indicated.