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

We introduce a subclass of 𠑘 -uniformly convex functions of order ð ›¼ with negative coefficients by using the multiplier transformations in the open unit disk 𠑈 = { 𠑧 ∈ â„‚ ∶ | 𠑧 | < 1 } . We obtain coefficient estimates, radii of convexity and close-to-convexity, extreme points, and integral means inequalities for the function ð ‘“ that belongs to the class ð ’© â„“ ð ‘š ( ð ›¼ , ð ›½ , 𠑘 , ð œ ) .