Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 830138, 12 pages
Research Article

Subordination for Higher-Order Derivatives of Multivalent Functions

Rosihan M. Ali,1 Abeer O. Badghaish,1,2 and V. Ravichandran3

1School of Mathematical Sciences, Universiti Sains Malaysia (USM), 11800 Penang, Malaysia
2Mathematics Department, King Abdul Aziz University, P.O. Box 581, Jeddah 21421, Saudi Arabia
3Department of Mathematics, University of Delhi, Delhi 110 007, India

Received 18 July 2008; Accepted 24 November 2008

Academic Editor: Vijay Gupta

Copyright © 2008 Rosihan M. Ali 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.


Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of p-valent functions. These results are next applied to yield various known results as special cases.