数学物理学报 ›› 2010, Vol. 30 ›› Issue (3): 793-799.

• 论文 • 上一篇    下一篇

角域内亚纯函数的唯一性定理

吴昭君   

  1. 咸宁学院数学系 湖北咸宁 437100
  • 收稿日期:2008-09-10 修回日期:2009-12-21 出版日期:2010-05-25 发布日期:2010-05-25
  • 基金资助:

    国家自然科学基金(10471048)和湖北省教育厅研究项目(B20092809)资助

Uniqueness Theorems of Meromorphic Functions in an Angular Domain

 WU Zhao-Jun   

  1. Department of Mathematics, Xianning University, Hubei Xianning 437100
  • Received:2008-09-10 Revised:2009-12-21 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(10471048)和湖北省教育厅研究项目(B20092809)资助

摘要:

该文研究了复平面上的亚纯函数在角域内分担两个集合的唯一性, 将仪洪勋和林伟川最近得到的复平面上的亚纯函数在全平面上分担两个集合的唯一性定理中的在全平面上分担两个集合的条件改成在角域内分担两个集合, 得到了几个唯一性定理.

关键词: 分担集, 唯一性, 亚纯函数, 角域

Abstract:

In this paper, we first investigate the uniqueness of meromorphic functions dealing with two shared sets in an angular domain and obtain several uniqueness theorems, which extend the recent results by Yi H X and Lin W C who investigated the uniqueness of meromorphic functions dealing with two shared sets in the whole complex plane.

Key words: Shared-set, Uniqueness, Meromorphic function, Angular domain

中图分类号: 

  • 30D35