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Abstract and Applied Analysis
Volume 2014, Article ID 692327, 4 pages
Research Article

Some Connections between Class 𝒰- and α-Convex Functions

1Department of Mathematics and Computer Sciences, Faculty of Mathematical and Natural Sciences, University of Prishtina, M. Tereza n.n., 10000 Prishtina, Kosovo
2Faculty of Mechanical Engineering, Ss. Cyril and Methodius University in Skopje, Karpoš II b.b., 1000 Skopje, Macedonia

Received 19 November 2013; Accepted 12 February 2014; Published 13 March 2014

Academic Editor: V. Ravichandran

Copyright © 2014 Edmond Aliaga and Nikola Tuneski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The class 𝒰 of normalized analytic functions that satisfy for all z in the open unit disk is studied and sufficient conditions for an α-convex function to be in 𝒰 are given.