| 分担一个亚纯函数的亚纯函数族的正规定则 |
| |
| 引用本文： | 杨拍,王雪,庞学诚.分担一个亚纯函数的亚纯函数族的正规定则[J].数学研究及应用,2014,34(5):543-548. |
| |
| 作者姓名： | 杨拍 王雪 庞学诚 |
| |
| 作者单位： | 成都信息工程学院应用数学学院, 四川 成都 610225;阜阳师范学院数学与金融学院, 安徽 阜阳 236041;华东师范大学数学系, 上海 200062 |
| |
| 基金项目： | 国家自然科学基金(Grant Nos.11371139; 11261029; 11001081), 成都信息工程学院科研基金(Grant No.KYTZ201403). |
| |
| 摘 要： | Let F be a family of meromorphic functions in D,and let Ψ(≠0) be a meromorphic function in D all of whose poles are simple.Suppose that,for each f ∈F,f≠0 in D.If for each pair of functions {f,g}(?) F,f' and g' share Ψ in D,then F is normal in D.
|
| 关 键 词： | 亚纯函数 函数共享 正规性 标准 |
| 收稿时间： | 2013/8/28 0:00:00 |
| 修稿时间： | 2014/2/24 0:00:00 |
Normality Criteria of Meromorphic Functions Sharing a Meromorphic Function |
| |
| Pai YANG,Xue WANG and Xuecheng PANG.Normality Criteria of Meromorphic Functions Sharing a Meromorphic Function[J].Journal of Mathematical Research with Applications,2014,34(5):543-548. |
| |
| Authors: | Pai YANG Xue WANG and Xuecheng PANG |
| |
| Institution: | College of Applied Mathematics, Chengdu University of Information Technology, Sichuan 610225, P. R. China;School of Mathematics and Finance, Fuyang Teachers College, Anhui 236041, P. R. China;Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China |
| |
| Abstract: | Let $\mathcal{F}$ be a family of meromorphic functions in $D$, and let $\psi(\neq 0)$ be a meromorphic function in $D$ all of whose poles are simple. Suppose that, for each $f\in\mathcal{F}$, $f\neq 0$ in $D$. If for each pair of functions $\{f,\,g\}\subset\mathcal{F}$, $f'$ and $g'$ share $\psi$ in $D$, then $\mathcal{F}$ is normal in $D$. |
| |
| Keywords: | meromorphic function shared values normality criteria |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
|
