Fekete-Szegö Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials.

In this paper, we introduce and investigate a class of bi-univalent functions, denoted by F(n, α, β), that depends on the Ruscheweyh operator and defined by the use of Gegenbauer Polynomials. For functions in this class, we derive the estimations for the initial Taylor-Maclaurin coefficients |a2| and |a3|. Moreover, we obtain the classical Fekete-Szegö inequality of functions belonging to this class. [ABSTRACT FROM AUTHOR]