Application of Gegenbauer polynomials for biunivalent functions defined by subordination

Abstract

We present and investigate a new subclass of biunivalent functions by applying Gegenbouer polynomials in this paper. Also, we find nonsharp estimates on the first two coefficients vertical bar b(0)vertical bar and vertical bar b(1)vertical bar for functions belonging to this subclass. Furthermore, the Fekete-Szego inequality vertical bar b(1) - eta b(0)(2)vertical bar for this subclass is obtained. We also point out some consequences of results.