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/2012/1352Abstract
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 coefï¬cient 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.
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