• APPLICATION OF FRACTIONAL CALCULUS TO K-STARLIKE FUNCTIONS WITH POSITIVE COEFFICIENTS

Abstract

In the present paper we introduce and study a family of analytic and univalent functions related to K-starlike functions with positive coefficients by applying fractional derivative operator in the open unit disc. For this class coefficient estimates, distortion bounds, extreme points, radii of convexity and class preserving integral operator have been established. It is worthy to note that many of our results are either extensions or new approaches to those correspondence previously known results.