数学物理学报 ›› 2016, Vol. 36 ›› Issue (4): 740-749.

• 论文 • 上一篇    下一篇

解析函数的Borel方向与唯一性

玄祖兴1, 徐洪焱2   

  1. 1. 北京联合大学北京市信息服务工程重点实验室, 基础部 北京 100101;
    2. 景德镇陶瓷学院信息工程学院 江西景德镇 333403
  • 收稿日期:2015-12-16 修回日期:2016-06-08 出版日期:2016-08-26 发布日期:2016-08-26
  • 通讯作者: 徐洪焱 E-mail:xhyhhh@126.com
  • 作者简介:玄祖兴,zuxingxuan@163.com
  • 基金资助:

    国家自然科学基金(11561033,91420202)、北京市属高等学校高层次人才引进与培养三年行动计划(2013--2015)-“青年拔尖人才培育计划”(CIT,TCD201504041)和江西省自然科学基金(20151BAB201008)资助

Borel Directions and Uniqueness of Analytic Functions

Xuan Zuxing1, Xu Hongyan2   

  1. 1. Beijing Key Laboratory of Information Service Engineering, Department of General Education, Beijing Union University, Beijing 100101;
    2. Department of Informatics and Engineering, Jingdezhen Ceramic Institute, Jiangxi Jingdezhen 333403
  • Received:2015-12-16 Revised:2016-06-08 Online:2016-08-26 Published:2016-08-26
  • Supported by:

    Support by the NSFC(11561033,91420202),the Importation and Development of High-Caliber Talents Project of Beijing Municipal Institutions(CIT and TCD201504041) and the Natural Science Foundation of Jiangxi Province(20151BAB201008)

摘要:

借助Nevanlinna理论,研究了Borel方向和解析函数的唯一性之间的关系,得到了几个在包含Borel方向的角域内分担四个不同值的解析函数的唯一性定理. 这些结果是龙见仁和伍鹏程[10]相关结果的推广.

关键词: 解析函数, Borel方向, 唯一性

Abstract:

In view of Nevanlinna theory, we deal with the relationship between Borel directions and uniqueness of analytic functions. Some theorems of analytic functions sharing four distinct values in an angular domain containing a Borel directions are obtained. Our theorems are improvement of the results given by Long and Wu[10].

Key words: Analytic function, Borel direction, Uniqueness

中图分类号: 

  • O174.52