International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 84961, 14 pages
Research Article

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

Received 19 December 2006; Revised 19 March 2007; Accepted 15 April 2007

Academic Editor: Heinrich Begehr

Copyright © 2007 Hong-Yan Xu. 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.


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).