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2012 On Subclass of k -Uniformly Convex Functions of Complex Order Involving Multiplier Transformations
Waggas Galib Atshan, Ali Hamza Abada
Abstr. Appl. Anal. 2012: 1-10 (2012). DOI: 10.1155/2012/150571

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 : | 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 N m l ( α , β , k , υ ) .

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Waggas Galib Atshan. Ali Hamza Abada. "On Subclass of k -Uniformly Convex Functions of Complex Order Involving Multiplier Transformations." Abstr. Appl. Anal. 2012 1 - 10, 2012. https://doi.org/10.1155/2012/150571

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1247.30013
MathSciNet: MR2947678
Digital Object Identifier: 10.1155/2012/150571

Rights: Copyright © 2012 Hindawi

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