Estimates of First Two Coefficients of Analytic Functions of a Certain Class of Bi-Univalent Functions using OPPLA Differential Operator

ABSTRACT: In this paper, we have used Opoola Differential Operator, a generalization of Slgean Differential Operator and Al-Oboudi Differential Operator to define a new subclass of analytic and bi-univalent functions using quasi-subordination principle. We have obtained upper estimates for the first two coefficients of functions in the this subclass by means of Ma-Minda functions.

Mathematics Subject Classification: Primary: 30C45; Secondary: 30C50.

Keywords: Analytic and bi-univalent functions, Opoola differential operator, Coefficient bounds, Ma-Minda functions.