Abstract and Applied Analysis
Volume 2007 (2007), Article ID 60718, 6 pages
Meromorphic Functions Sharing a Small Function
LMIB and Department of Mathematics, Beihang University, Beijing 100083, China
Received 25 September 2006; Revised 18 January 2007; Accepted 26 March 2007
Academic Editor: Y. Giga
Copyright © 2007 Songmin Wang and Zongsheng Gao. 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 will study meromorphic functions that share a small function, and prove the following result: let and be two transcendental meromorphic functions in the complex plane and let be a positive integer. Assume that is a common small function with respect to and . If and share CM, then either , or for a constant satisfying . As applications, we give several examples.