Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 463287, 10 pages
http://dx.doi.org/10.1155/2011/463287
Research Article

A Note on Normal Families of Meromorphic Functions Concerning Shared Values

Yuan Wenjun,1 Wei Jinjin,1 and Lin Jianming2

1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
2School of Economy and Management, Guangzhou University of Chinese Medicine, Guangzhou 510006, China

Received 2 July 2011; Accepted 26 August 2011

Academic Editor: Cengiz Γ‡inar

Copyright Β© 2011 Yuan Wenjun 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 study the normality of families of meromorphic functions related to a Hayman conjecture. We consider whether a family of meromorphic functions β„± is normal in 𝐷 if, for every pair of functions 𝑓 and 𝑔 in β„± , 𝑓 ξ…ž βˆ’ π‘Ž 𝑓 𝑛 and 𝑔 ξ…ž βˆ’ π‘Ž 𝑔 𝑛 share the value 𝑏 for 𝑛 = 1 , 2 , and 3, where π‘Ž and 𝑏 β‰  0 are two finite complex numbers. Some examples show that the conditions in our results are the best possible.