Fekete-Szego Inequalities for a New Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials

Abstract

We introduce and investigate in this paper a new subclass of bi-univalent functions associated with the Gegenbauer polynomials which satisfy subordination conditions defined in a symmetric domain, which is the open unit disc. For this new subclass, we obtain estimates for the Taylor-Maclaurin coefficients vertical bar a(2)vertical bar, vertical bar a(3)vertical bar and the Fekete-Szego inequality vertical bar a(3)-mu a(2)(2)vertical bar.