数学物理学报 ›› 2016, Vol. 36 ›› Issue (2): 244-253.

• 论文 • 上一篇    下一篇

涉及分担三值的非整数级亚纯函数的唯一性定理

罗杰, 林伟川   

  1. 福建师范大学数学与计算机科学学院 福州 350007
  • 收稿日期:2015-09-11 修回日期:2016-01-15 出版日期:2016-04-25 发布日期:2016-04-25
  • 作者简介:林伟川,sxlwc936@fjnu.edu.cn;罗杰,luojie0520@163.com
  • 基金资助:

    国家自然科学基金(11371225)和福建省自然科学基金(2011J01006)资助

Uniqueness Theorem of Meromorphic Functions with Non-Integer

Luo Jie, Lin Weichuan   

  1. School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007
  • Received:2015-09-11 Revised:2016-01-15 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Supported by the NSFC (11371225) and the Natural Science Foundation of Fujian Province (2011J01006)

摘要:

该文讨论了亚纯函数的唯一性问题,证明了:如果两个有穷非整数级亚纯函数分担a,b,c IM,且d为它们的广义Picard例外值,则它们必相等.并给出例子表明定理的条件是精确的.

关键词: 亚纯函数, 唯一性, 非整数级

Abstract:

In this paper, we discuss the problem of uniqueness of meromorphic functions and obtain that if two meromorphic functions with non-integer order that share a, b, c IM, and d is a generalized Picard exceptional value of them, then they are identically equal. In addition, we provide some examples to show that the conditions of our theorem are necessary.

Key words: Meromorphic function, Uniqueness, Non-integer order

中图分类号: 

  • O174.52