Certain subclasses of k-uniformly starlike functions associated with symmetric q-derivative operator

Abstract

In this paper, we have established the inclusion relations for k-uniformly starlike functions under the (D<inf>q</inf>f)(z) operator. We define two new subclass of k-uniformly starlike functions of order α. Moreover, for functions belonging to these function classes, we investigate necessary and sufficient coefficient conditions, distortion bounds, extreme points.