International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 84961, 14 pages
doi:10.1155/2007/84961

Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function

Hong-Yan Xu

Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jingdezhen 333403, Jiangxi, China

Abstract

We deal with some uniqueness theorems of two transcendental meromorphic functions with their nonlinear differential polynomials sharing a small function. These results in this paper improve those given by C.-Y. Fang and M.-L. Fang (2002), by Lahiri and Pal (2006), and by Lin and Yi (2004).