Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 751721, 11 pages
doi:10.1155/2010/751721
Research Article

On Certain Multivalent Starlike or Convex Functions with Negative Coefficients

Neslihan Uyanik,1 Erhan Deniz,2 Ekrem Kadioǧlu,2 and Shigeyoshi Owa3

1Department of Mathematics, Kazim Karabekir Faculty of Education, Atatürk University, Erzurum 25240, Turkey
2Department of Mathematics, Science and Art Faculty, Atatürk University, Erzurum 25240, Turkey
3Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

Received 2 April 2010; Accepted 3 June 2010

Academic Editor: N. Govil

Copyright © 2010 Neslihan Uyanik et al. 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.

Abstract

By means of a differential operator, we introduce and investigate some new subclasses of p-valently analytic functions with negative coefficients, which are starlike or convex of complex order. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.