Certain Subclasses of Uniformly Starlike and Convex Functions Defined by Convolution
نویسندگان
چکیده
Abstract. The aim of this paper is to obtain coefficient estimates, distortion theorems, convex linear combinations and radii of close-toconvexity, starlikeness and convexity for functions belonging to the subclass TSγ(f, g; α, β) of uniformly starlike and convex functions, we consider integral operators associated with functions in this class. Furthermore partial sums fn(z) of functions f(z) in the class TSγ(f, g; α, β) are considered and sharp lower bounds for the ratios of real part of f(z) to fn(z) and f ′ (z) to f ′ n(z) are determined.
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