华东师范大学学报(自然科学版) ›› 2011, Vol. 2011 ›› Issue (2): 54-61.

• 应用数学与基础数学 • 上一篇    下一篇

分担一个全纯函数的亚纯函数族与正规性

李三华1,2   

  1. 1. 华东师范大学 数学系, 上海 200241; 2. 井冈山大学 数学系, 江西 吉安 343009
  • 收稿日期:2010-06-01 修回日期:2010-09-01 出版日期:2011-03-25 发布日期:2011-03-25
  • 通讯作者: 李三华

Normality of a family of meromorphic functions sharing a holomorphic funtion

LI San-hua1,2   

  1. 1. Department of Mathematics, East China Normal University, Shanghai 200241, China; 2. Department of Mathematics, Jinggangshan University, Jian Jiangxi 343009, China
  • Received:2010-06-01 Revised:2010-09-01 Online:2011-03-25 Published:2011-03-25
  • Contact: LI San-hua

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摘要： 讨论亚纯函数正规族与分担函数之间关系. 在给定的条件下, 证明了一族亚纯函数分担一个全纯函数的正规性.

关键词: 亚纯函数, 零点, 正规族, 亚纯函数, 零点, 正规族

Abstract: This paper was concerned with normal families of meromorphic functions associated with shared functions. In given conditions, the normality of families of meromorphic functions sharing one holomorphic function was proved.

Key words: zero point, normaltity, meromorphic function, zero point, normaltity

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