International Journal of Mathematics and Mathematical Sciences
Volume 2003 (2003), Issue 14, Pages 853-856
doi:10.1155/S0161171203203227
A factorization theorem for Logharmonic mappings
Department of Computer Science, Mathematics and Statistics, American University of Sharjah (AUS), P.O. Box 26666, Sharjah, United Arab Emirates
Received 24 March 2002
Copyright © 2003 Zayid Abdulhadi and Yusuf Abumuhanna. 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 give the necessary and sufficient condition on
sense-preserving logharmonic mapping in order to be factorized as
the composition of analytic function followed by a univalent
logharmonic mapping.