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

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 fo...

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Bibliographic Details
Main Authors: Waggas Galib Atshan, Ali Hamza Abada
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/150571
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