ACTA UNIVERSITATIS APULENSIS Special Issue ON CERTAIN CLASSES OF UNIFORMLY ω-STARLIKE AND ω-CONVEX FUNCTIONS DEFINED BY CONVOLUTION

Abstract. The author here wish to further study the new concept of analytic and univalent functions normalized with f(ω) and f ′(ω) − 1 = 0 introduced by Kanas and Ronning in 1999 which was later also investigated in 2005 by Acu and Owa. The author in this paper obtain coefficient estimates, distortion theorems, convex linear combinations, and radii of ω-closeto-convex, ω − starlikeness and ω − convex for functions belonging to the subclass Φγ,ωT (f, g, α, β, λ, l) of uniformly ω − starlikeness and ω − convex functions.We also consider integral operators associated with functions in this class.