Advances in Difference Equations
Volume 2011 (2011), Article ID 234215, 12 pages
doi:10.1155/2011/234215
Research Article

Value Distributions and Uniqueness of Difference Polynomials

Kai Liu, Xinling Liu, and TingBin Cao

Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, China

Received 21 January 2011; Accepted 7 March 2011

Academic Editor: Ethiraju Thandapani

Copyright © 2011 Kai Liu et al. 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 investigate the zeros distributions of difference polynomials of meromorphic functions, which can be viewed as the Hayman conjecture as introduced by (Hayman 1967) for difference. And we also study the uniqueness of difference polynomials of meromorphic functions sharing a common value, and obtain uniqueness theorems for difference.