广西科学Issue(2):196-198,3.
涉及分担值的两个亚纯函数族的正规定则
Normal Criteria about Two Families of Meromorphic Functions Involving Shared Values
摘要
Abstract
We mainly discuss the normality of two families of meromorphic functions involving shared values,which was proved as follows:Let F andG be two families of functions meromor-phic on a domain D.Let a 1 ,a 2 ,a 3 be three distinct complex numbers,k ≥ 1,l ≥ 0 be two inte-gers.IfG is normal,and for any subsequence {g n (z)}ofG,g n → g,we have g ≢ ∞ on D.If for every f ∈ F,all zeros of f(z)are of multiplicity at least k +1 in D,there exists g ∈G such that f (k)(z)and g (l)(z)share the values a 1 ,a 2 ,a 3 ,then F is normal on D.关键词
亚纯函数/正规族/分担值Key words
meromorphic functions/normal family/shared value分类
数理科学引用本文复制引用
李运通,赖利平..涉及分担值的两个亚纯函数族的正规定则[J].广西科学,2014,(2):196-198,3.基金项目
陕西铁路工程职业技术学院科研基金项目(2013-12)资助。 ()