Open Access Open Access  Restricted Access Subscription or Fee Access

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

Somia Muftah Amsheri, Valentina Zharkova

Abstract


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.

Keywords


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

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.