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Research Article Open access CC BY 3.0

Certain Subclass of k-Uniformly p-Valent Starlike and Convex Functions Associated with Fractional Derivative Operators

Somia Muftah Amsheri, Valentina Zharkova

Journal of Advances in Mathematics and Computer Science · pp. 242–254 · Published 8 Dec 2012

10.9734/BJMCS/2012/1352

Abstract

In this paper, we introduce a new subclass of k-uniformly p-valent starlike and convex functions in the open unit disk using a fractional differential operator. We obtain coefficient estimates, distortion theorems, extermal properties, closure theorems, and inclusion properties. The radii for k-uniformly starlikeness, convexity and close-to-convexity for functions belonging to this class are also determined.

p-valent function starlike function convex function k-uniformly starlike function k-uniformly convex function fractional derivative operators

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