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International Journal of Mathematics and Mathematical Sciences
Volume 2008, Article ID 638251, 8 pages
Research Article

Subordination Properties for Certain Analytic Functions

1Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt
2Department of Mathematics, Teachers' College in Abha, King Khalid University, Abha, P.O. Box 249, Saudi Arabia
3Department of Applied Mathematics, Pukyong National University, Pusan 608-737, South Korea
4Department of Mathematics, Faculty of Science, King AbdulAziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Received 13 September 2007; Accepted 7 November 2007

Academic Editor: Brigitte Forster-Heinlein

Copyright © 2008 A. A. Attiya 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.


The purpose of the present paper is to derive a subordination result for functions in the class 𝐻 βˆ— 𝑛 ( 𝛼 , πœ† , 𝑏 ) of normalized analytic functions in the open unit disk π•Œ . A number of interesting applications of the subordination result are also considered.