Abstract and Applied Analysis
Volume 2013 (2013), Article ID 273040, 6 pages
http://dx.doi.org/10.1155/2013/273040
Research Article

Results on Difference Analogues of Valiron-Mohon'ko Theorem

Ran Ran Zhang1 and Zhi Bo Huang2

1Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China
2School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received 6 April 2013; Accepted 4 May 2013

Academic Editor: Allan Peterson

Copyright © 2013 Ran Ran Zhang and Zhi Bo Huang. 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

The classical Valiron-Mohon'ko theorem has many applications in the study of complex equations. In this paper, we investigate rational functions in f(z) and the shifts of f(z). We get some results on their characteristic functions. These results may be viewed as difference analogues of Valiron-Mohon'ko theorem.