Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 452057, 10 pages
Research Article

A New Subclass of Analytic Functions Involving Al-Oboudi Differential Operator

Sevtap Sümer Eker and H. Özlem Güney

Department of Mathematics, Faculty of Science and Letters, Dicle University, 21280 Diyarbakir, Turkey

Received 25 September 2007; Accepted 4 February 2008

Academic Editor: Jozsef Szabados

Copyright © 2008 Sevtap Sümer Eker and H. Özlem Güney. 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 main object of this paper is to introduce and investigate a new subclass of normalized analytic functions in the open unit disc 𝕌 which is defined by Al-Oboudi differential operator. Coefficient inequalities, extreme points, and integral means inequalities for fractional derivative for this class are given.