Advances in Difference Equations
Volume 2009 (2009), Article ID 982681, 10 pages
Research Article

Meromorphic Solutions of Some Complex Difference Equations

School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received 27 January 2009; Accepted 28 May 2009

Academic Editor: Binggen Zhang

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 {J}αJ(z)(jJf(z+cj))=R(z,f(z)), where {J} is a collection of all subsets of {1,2,,n}, cj(jJ) are distinct, nonzero complex numbers, f(z) is a transcendental meromorphic function, αJ(z)'s are small functions relative to f(z), and R(z,f(z)) is a rational function in f(z) with coefficients which are small functions relative to f(z).