Open Access Research

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Jianming Qi1*, Jie Ding2 and Taiying Zhu2

Author Affiliations

1 Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, PR China

2 Department of Mathematics, Shandong University, Jinan 250100, PR China

For all author emails, please log on.

Journal of Inequalities and Applications 2011, 2011:50 doi:10.1186/1029-242X-2011-50

Published: 6 September 2011

Abstract

In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions. Our results which improve the results of Yang and Laine [Proc. Jpn. Acad. Ser. A Math. Sci. 83:50-55 (2007)]; Qi et al. [Comput. Math. Appl. 60:1739-1746 (2010) ].

Mathematics Subject Classification (2000): 30D35, 39B32, 34M05.

Keywords:
Meromorphic functions; Nevanlinna Theory; difference equation; difference polynomial