摘要: 研究了涉及分担值的亚纯函数的正规定则，利用Zalcman引理，推广了前人的一个结果，得到了一个涉及微分多项式和分担值的亚纯函数正规定则。文章在亚纯函数理论方面做了深入的研究，扩展了已有的结果，对于理解亚纯函数的性质和正规性具有一定的理论意义和研究价值。设
是正整数，
F为
D内的一族亚纯函数，如果对任一的函数
，
f的零点重数
。
为
f的微分多项式且
。若对任意一组函数
，
与
在
D内分担1，则亚纯函数
F在区域
D内是正规的。
Abstract:
In this paper, we study the normal families of meromorphic functions concerning shared values. By using Zalcman Lemma, we improve and promote one of the results of its predecessors, obtain a normal criterion of meromorphic functions concerning shared value and differential polynomials. In this paper, the meromorphic function theory has been studied in depth, which expands the existing results and has certain theoretical significance and research value for understanding the properties and normality of meromorphic functions. Let
be two positive integers,
F be a normal of meromorphic functions on domain
D. If for each function
, all of whose zeros multiplicity at least
, and
be a differential polynomial of
f and
. If each pair function
,
and
share 1 in
D, then
F is normal in
D.