亚纯函数族的微分多项式不取函数时的正规性

设k是正整数，F是开平面上的区域D的亚纯函数族，F中每个函数，（z）EF的零点重数至少为k＋1，极点重数至少为3，而o（=）为D上的全纯函数，a（z）不恒等于0。对于F中的每个函数f（z）εF，若f（z）的全纯系数的线性微分多项式L（f）满足L（f）≠a（z），zεD，则F在D上正规。

Normality of Meromorphic Functions Whose Differential Polynomial Omitting a Function

In this paper, we obtain the following normal criterion： Let F be a family of meromorphic functions in domain D, all of whose zeros have multiplicity k ＋ 1 at least and of whose poles have multiplicity 3 at least. If there exists analytic function a（z） on D, such that for every functionf（z）εF, L（f） ≠ a（z）, zεD, then F is normal family on D. Where L（f） is a linea differential polynomial off（z） with holomorphic coefficient aj（z） （j = 1,2,.. ,k - 1 ） and k is some positive number.