COEFFICIENTS BOUNDS FOR A SUBCLASS OF BI-UNIVALENT FUNCTIONS DEFINED BY AL-OBOUDI DIFFERENTIAL OPERATOR

Abstract

In this paper, we investigate a new subclass Sigma(n)(delta)(lambda,gamma,phi) of analytic and bi-univalent functions in the open unit disk u = {z:|z|<1}defined by Al-Oboudi differential operator. We obtain coefficient bounds |a(2)| and |a(3)| for functions belonging to subclass Sigma(n)(delta)(lambda,gamma,phi). Relevant connections of the results presented here with various well-known results are briefly indicated.