ON A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY GEGENBAUER POLYNOMIALS.

The aim of this article is to introduce and investigate a new subclass of analytic functions involving Gegenbauer polynomials. We obtain for the introduced class various geometric properties giving the coefficient inequalities, distortion theorem, radius of close-toconvexity, starlikeness, convex linear combination, partial sums and convolution properties. Further, we obtain a neighborhood result for the class defined in the present paper. [ABSTRACT FROM AUTHOR]