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

Abstract

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 .