School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
Copyright © 2009 Zhi-Bo Huang and Zong-Xuan Chen. 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.
The main purpose of this paper is to
present the properties of the meromorphic solutions of complex
difference equations of the form
, where is a collection of all subsets of , are distinct, nonzero complex
numbers, is a transcendental meromorphic function, 's are small functions relative to , and
is a rational function in with coefficients
which are small functions relative to .