信阳师范学院学报（自然科学版）2012，Vol.25Issue(3)：289-291,3.DOI:10.3969/j.issn.1003-0972.2012.03.003
涉及微分多项式的亚纯函数的正规定则
Normal Criterion of Meromorphic Functions Concerning Differential Polynomial and Shared Values
摘要
Abstract
The normality of families of meromorphic functions was studied, and a result for normal families of mer-omorphic functions concerning differential polynomial was obtained, which was extended from a normal criterion on families of meromorphiu functions concerning derivative. The novel theorm shows that: Let F be a class of meromorphic functions in the unit circle,α be a nonzero finite plural, and k be a positive integer, if for every f(z) ∈ F, the multiplicity of zero point is at least k + 1, the multiplicity of pole point is at least 2, and a is the 1M shared value of L(f) (z) and f(z) , then F is normal in the unit circle.关键词
亚纯函数/分担值/正规族/微分多项式Key words
meromorphic functions/ shared values/ normal family/ differential polynomial分类
数理科学引用本文复制引用
张海侠..涉及微分多项式的亚纯函数的正规定则[J].信阳师范学院学报（自然科学版）,2012,25(3):289-291,3.基金项目
河南省教育厅自然科学基金项目(2011A110020) （2011A110020）
河南省骨干教师资助项目(2011GGJS-182) （2011GGJS-182）
