Coefficient bounds for a certain subclass of analytic and bi-univalent functions

Abstract

In this paper, we introduce and investigate a new subclass of the a-nalytic and bi-univalent functions in the open unit disk in the complex plane. For the functions belonging to this class, we obtain estimates on the first three coefficients in their Taylor-Maclaurin series expansion. Some interesting corollaries and applications of the results obtained here are also discussed.