关于分担集合的亚纯函数的正规定则

Normal Criterion of Meromorphic Functions Concerning Shared-set

从分担值集的角度出发,研究了亚纯函数的正规性,推广了前人的结果,得到了关于分担集合的亚纯函数正规性的一个结果。即:设a,b为两个判别的有穷复数,S={a,b},如果{f(k)}中所有函数f(k)在D内以S为IM分担值集。则{f(k)}k在D内正规。

The normality of families of meromorphic functions using the idea of shared--set was stud- ied, which was extended from the predecessors, and a theorem which concerned about the normality of meromorphic functions concerning shared--set was obtained. The novel theorm shows that： Let a, b be two distinct finite plual,s= {a,b} ,if for every f（κ）∈ { f（κ） } ,the set s is the IM shared values of f（κ） in a do- main D,then { f（κ） } is normal in the D.