On some new subclasses of bi-univalent functions defined by Balancing polynomials

Abstract

In this paper, two new subclasses of holomorphic and bi-univalent functions are introduced by using Balancing polynomials. Then, coefficient estmations are determined for the first two coefficients of functions belonging to these new classses. Finally, the Fekete-Szeg¨o problem is handled for the functions in subclasses defined.