与分担值相关的全纯函数的正规性

On Normal Criterion of Holomorphic Function

在分担值和亚纯函数正规性研究的基础上,讨论了与分担值相关的全纯函数的正规性.

Let F be a family of holomorphic functions on plane domain D, all of whose zeros have multiplicity at ieast k＋1,Suppose that for each f∈F, L（z）=z=〉f（z）=1, Then F is normal in D. there L（z）=f（k）（z）＋a1（z）f（k-1） （z）＋…＋ak（z）f （z）,k≥1, and ai（z）（i=1,2,…, k, k≥ 1） be analytic in D and they are not identical to zero.