| 龙见仁,邱春晖,伍鹏程.Borel方向与涉及重值的亚纯函数的唯一性[J].数学年刊A辑,2017,38(3):303~312 |
| Borel方向与涉及重值的亚纯函数的唯一性 |
| Borel Directions and Uniqueness of Meromorphic Functions Dealing with Multiple Values |
| Received:February 18, 2015 Revised:August 21, 2016 |
| DOI：10.16205/j.cnki.cama.2017.0026 |
| 中文关键词: Uniqueness, Sharing values, Boreldirection, Angular domain, Multiple values |
| 英文关键词:Uniqueness, Sharing values, Boreldirection, Angular domain, Multiple values |
| 基金项目:本文受到国家自然科学基金(No.11501142,No.11571288,No.11171080)，贵州省科学技术基金(No.J[2015]2112号),贵州师范大学2016年博士科研启动项目的资助. |
| Author Name | Affiliation | E-mail | | LONG Jianren | Corresponding author. School of Mathematical Sciences, Guizhou Normal University,Guiyang 550001, China. | longjianren2004@163.com | | QIU Chunhui | School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, China. | chqiu@xmu.edu.cn | | WU Pengcheng | School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, China. | chqiu@xmu.edu.cn |
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| 中文摘要: |
| 利用角域 Nevanlinna 特征函数和亚纯函数的辐角分布理论研究了亚纯函数的角域唯一性问题,
获得了一些涉及重值的角域唯一性的结果,该角域包含亚纯函数的一条 Borel 方向. |
| 英文摘要: |
| The authors study a problem of uniqueness of meromorphic functions in an angular domain containing a Borel direction, and obtain some uniqueness results dealing with multiple values by using the sectorial Nevanlinna characteristic function and the theory of angular distribution of meromorphic functions. |
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