Bloch原理逆的几个正规性判据和一个反例
Some Normality Criteria and a Counterexample to the Converse of Bloch's Principle
摘要：
在本文中，我们继续我们以前的研究亚纯函数的正规族\cite{CS2}。本文证明了一类涉及全纯函数由更一般的微分多项式分担的亚纯函数族的一些值分布结果，从而得到了这类函数族的一些正规性准则，推广和改进了一些最近已知的结果.特别地，本文的主要结果给出了布洛赫原理逆的一个反例。
英文摘要：
In this paper we continue our earlier investigations on normal families of meromorphic functions\cite{CS2}. Here, we prove some value distribution results which lead to some normality criteria for a family of meromorphic functions involving the sharing of a holomorphic function by more general differential polynomials generated by members of the family and get some recently known results extended and improved. In particular, the main result of this paper leads to a counterexample to the converse of Bloch's principle.
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