International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 736746, 15 pages
doi:10.1155/2009/736746
Research Article

General Approach to Regions of Variability via Subordination of Harmonic Mappings

Sh. Chen,1 S. Ponnusamy,2 and X. Wang1

1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
2Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Received 17 October 2009; Accepted 20 November 2009

Academic Editor: Narendra Kumar Govil

Copyright © 2009 Sh. Chen 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

Using subordination, we determine the regions of variability of several subclasses of harmonic mappings. We also graphically illustrate the regions of variability for several sets of parameters for certain special cases.