J. Aust. Math. Soc.  78 (2005), 17-26
On the value distribution of

 Xiaojun Huang   Mathematics College   Sichuan University   Chengdu, Sichuan 610064   China  hx_jun@163.com
 and
 Yongxing Gu   Department of Mathematics   Chongqing University   Chongqing 400044   China  yxgu@cqu.edu.cn

Abstract
In this paper, we prove that for a transcendental meromorphic function on the complex plane, the inequality holds, where is a positive integer. Moreover, we prove the following normality criterion: Let be a family of meromorphic functions on a domain and let be a positive integer. If for each , all zeros of are of multiplicity at least , and for , then is normal in the domain . At the same time we also show that the condition on multiple zeros of in the normality criterion is necessary.