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

Waggas Galib Atshan and Ali Hamza Abada

Abstract and Applied Analysis, 2012, vol. 2012, 1-10

Abstract:

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 ) .

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:150571

DOI: 10.1155/2012/150571

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