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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 379130, 10 pages
doi:10.1155/2012/379130
Research Article
On Certain Classes of Biharmonic Mappings Defined by Convolution
Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, China
Received 1 March 2012; Accepted 7 August 2012
Academic Editor: Saminathan Ponnusamy
Copyright © 2012 J. Chen and X. Wang. 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
We introduce a class of complex-valued biharmonic mappings, denoted by , together with its subclass , and then generalize the discussions in Ali et al. (2010) to the setting of and in a unified way.