On Subclass of k-Uniformly Convex Functions of Complex Order Involving Multiplier Transformations

Abstract EN

We introduce a subclass of k-uniformly convex functions of order α with negative coefficients by using the multiplier transformations in the open unit disk U={z∈ℂ:|z|<1}.

We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities for the function f that belongs to the class Nml(α,β,k,υ).