UPPER ESTIMATES OF THE INITIAL COEFFICIENTS OF ANALYTIC FUNCTIONS BELONGING TO A CERTAIN CLASS OF BI-UNIVALENT FUNCTIONS

In this paper, Opoola differential operator, which is a generalization of both Salagean differential operator and Al-Oboudi differential operator is used to define a new subclass of analytic and bi-univalent functions by using quasi-subordination principle. The upper estimates for the first two initial coefficients of functions in the new subclass defined are obtained by means of Ma-Minda functions.