Abstract:
In this paper we introduce the new subclasses S_n^m (� ,�,? ,a,c) and H_n^m (� ,�,? ,a,c) of n-uniformly convex and n-uniformly starlike functions which are analytic and multivalent with negative coefficients. The object of this paper is to study of the application of incomplete beta function ?_p (a,c,z) to n-uniformly convex multivalent functions and obtain several properties of the subclasses S_n^m (� ,�,? ,a,c) and H_n^m (� ,�,? ,a,c).
Keywords: Analytic functions, Multivalent functions, Coefficient estimate, Distortion theorem, Starlike functions, Convex functions, Close-to-close functions, n-Uniformly Convex functions, n-Uniformly Starlike functions, Radii of close-to-close convexity , starlikeness and convexity