International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 736746, 15 pages
doi:10.1155/2009/736746
General approach to regions of variability via subordination of harmonic mappings
Sh. Chen1
, S. Ponnusamy2
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
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.