| 陈玮,王琼,袁文俊.涉及Picard例外值的亚纯函数正规族[J].数学年刊A辑,2021,42(1):47~58 |
| 涉及Picard例外值的亚纯函数正规族 |
| Normal Families of Meromorphic Functions Concerning Picard Values and Shared Values |
| Received:August 16, 2019 Revised:August 26, 2020 |
| DOI：10.16205/j.cnki.cama.2021.0005 |
| 中文关键词: 亚纯函数, 正规族, 分担值, Nevanlinna 理论 |
| 英文关键词:Meromorphic function, Normal family, Shared value, Nevanlinna theory |
| 基金项目:国家自然科学基金(No.,11961068, No.,11661077),重庆市自然科学基金(No.,cstc2019jcyj-msxmX0107)和重庆邮电大学基础研究基金(No.,A2018-125) |
| Author Name | Affiliation | | CHEN Wei | School of Sciences, Chongqing University of Posts and Telecommunications,Chongqing, 400065, China. | | WANG Qiong | Corresponding author. School of Sciences, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China. | | YUAN Wenjun3 | School of Mathematics and Information Sciences, Guangzhou University,Guangzhou 510006, China. |
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| 中文摘要: |
| 本文研究了徐炎等人在文 (Xu Y, Wu F Q, Liao L W. Picard values and normal families of meromorphic functions,Proc. R. Soc. Edinburgh, 2009, 139:1091--1099.)中提出的一个有关亚纯函数正规族猜想, 得到了两个正规定则,并且证明了一个涉及分担值的正规定则, 推广了前人的一些结果. |
| 英文摘要: |
| In this paper, the authors investigate the normality of meromorphic functions related to a conjecture of Xu Yan et al. (Xu Y, Wu F Q, Liao L W. Picard values and normal families of meromorphic functions, Proc. R. Soc. Edinburgh, 2009, 139:1091–1099.)and obtain two normal criterions. Moreover, the authors prove a normal criterion concerning shared values, which generalizes some previous results. |
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