Certain Subclasses of Uniformly Starlike and Convex Functions Defined by Convolution

نویسندگان

  • M. K. AOUF
  • R. M. EL-ASHWAH
  • S. M. EL-DEEB
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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تاریخ انتشار 2010