| 引用本文： |
-
李运通,杨建效.涉及不动点的全纯函数的正规族[J].广西科学,2009,16(4):379-380,384. [点击复制]
- LI Yun-tong,YANG Jian-xiao.On Normal Families of Holomorphic Functions Concerning Fix-point[J].Guangxi Sciences,2009,16(4):379-380,384. [点击复制]
|
|
| 摘要: |
| 研究正规族与分担值之间的关系,得出:若F是区域D上的一族全纯函数族,p(z)为次数 ≥ 2的多项式,如果对任意的f,g∈F,有p(f)和p(g)在D上IM分担z,则F在D上正规. |
| 关键词: 全纯函数 正规族 分担值 不动点 |
| DOI： |
| 投稿时间：2009-06-12 |
| 基金项目: |
|
| On Normal Families of Holomorphic Functions Concerning Fix-point |
|
LI Yun-tong, YANG Jian-xiao
|
| (Department of Basic Course, Shannxi Railway Institute, Weinan, Shannxi, 714000, China) |
| Abstract: |
| Some normality criterion concerning shared values are considered, and the following result is obtained:Let F be a family of analytic functions defined in a domain D, and p (z) be a polynomial with degree deg (p (z)) ≥ 2.If for every pair of function f, g∈F such that p (f) and p (g) share z in D, then F is normal in D. |
| Key words: holomorphic functions normal family shared value fix-point |
