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On A Subclass of K-Uniformly Convex Functions Associated With Fractional Derivative Operators

Somia Muftah Amsheri, Valentina Zharkova


In this paper, we introduce the subclass of k-uniformly convex function in the open unit disk by using fractional derivative operator. We obtain coefficient estimates, growth and distortion theorems, extermal properties, closer theorems, and inclusion properties. The radii for k-uniformly starlikeness, convexity and close-to-convexity for functions belonging to this class are also determined.


Univalent function, starlike function, convex function, k-uniformly starlike function, k-uniformly convex function, fractional derivative operators.

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