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涉及分担值的两个亚纯函数族的正规定则

李运通 赖利平

广西科学Issue(2):196-198,3.
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

李运通 1赖利平2

作者信息

  • 1. 陕西铁路工程职业技术学院基础课部,陕西渭南 714000
  • 2. 西华师范大学管理学院,四川南充 637000
  • 折叠

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。 ()

广西科学

OACSTPCD

1005-9164

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