拟正规与Hayman选择

Quasinormality and Hayman’s alternative

本文证明了亚纯函数族的一个拟正规定则,推广了Xu-Fang,Chang与Nevo-Pang-Zalcman的相应结果;并应用此拟正规定则得到了一个值分布结果,推广与改进了著名的Hayman选择,以及Wang-Fang,Chang和Nevo-Pang-Zalcman的相关结论.

In this paper, we prove a quasinormality criterion of families of meromorphic functions, which extends the related results of Xu-Fang, Chang and Nevo-Pang-Zalcman. As an application, we obtain a result in value distribution theory, which generalizes and improves the well-known Hayman＇s alternative and the related results of Wang-Fang, Chang and Nevo-Pang-Zalcman.