ON A SUBCLASS OF K-UNIFORMLY ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS AND THEIR PROPERTIES

Abstract

The object of this study is to introduce a new subclass of univalent analytic functions on the open unit disk. This subclass is created by utilizing univalent analytic functions with negative coefficients. We first explore the specific properties that functions in this subclass must possess before examining their coefficient characterization. By applying this approach, we observe several fascinating features, including coefficient approximations, growth and distortion theorems, extreme points and a demonstration of the radius of star- likeness and convexity for functions belonging to this subclass.