| 关于亚纯函数正规族的正规定则 |
| |
| 引用本文： | 孙承雄.关于亚纯函数正规族的正规定则[J].西北纺织工学院学报,2012(2):262-265. |
| |
| 作者姓名： | 孙承雄 |
| |
| 作者单位： | [1]云南宣威市第九中学,云南宣威655400 [2]云南师范大学数学学院,云南昆明650092 |
| |
| 基金项目： | 云南省社会发展科技计划基础研究面上项目（2009CD042） |
| |
| 摘 要： | 讨论了亚纯函数涉及微分多项式分担值的正规性问题,证明了一个正规定则,推广和改进了原有的结果.设k,q（≥2）为正整数,F为D内的一族亚纯函数,若对任意的函数f∈F,f的零点的重数至少为k＋1.H（f,f′,…,f（k））为f的微分多项式且Γ/γ｜H
|
| 关 键 词： | 亚纯函数 正规族 微分多项式 分担值 |
The normality criteria of meromorphic functions concerning shared value |
| |
| SUN Cheng-xiong.The normality criteria of meromorphic functions concerning shared value[J].Journal of Northwest Institute of Textile Science and Technology,2012(2):262-265. |
| |
| Authors: | SUN Cheng-xiong |
| |
| Affiliation: | SUN Cheng-xiong ,(1.No.9 Senior School of Xuanwei,Xuanwei,Yunnan 655400,China; 2.Department of Mathematics,Yunnan Normal University,Kunming 650092,China) |
| |
| Abstract: | The normal family of mreomorphic functions concerning differential polynomials was studied.By using the method of shared values,the related result was improved and generalized.Let F be a family of meromorphic functions in a domain D such that each f∈F has zeros of multiplicity at least k＋1,let k,q（≥2） be two positive integers,and H（f,f′,…,f（k）） be a differential polynomial of f and Γ/γ｜Hk＋1.If,each pair of functions f and g in F,（f（k））q＋H（f,f′,…,f（k）） and（g（k））q＋H（g,g′,…,g（k）） share 1 IM,then F is normal in D. |
| |
| Keywords: | meromorphic function normal family differential polynomial shared value |
| 本文献已被 维普 等数据库收录！ |
|
