数学物理学报 ›› 2016, Vol. 36 ›› Issue (2): 254-266.

• 论文 • 上一篇    下一篇

亚纯函数的非线性微分多项式分担多项式的唯一性

曾娟娟, 刘慧芳   

  1. 江西师范大学数学与信息科学学院 南昌 330022
  • 收稿日期:2015-09-20 修回日期:2016-01-22 出版日期:2016-04-25 发布日期:2016-04-25
  • 作者简介:刘慧芳,liuhuifang73@sina.com;曾娟娟,912915195@qq.com
  • 基金资助:

    国家自然科学基金(11201195)和江西省自然科学基金(20122BAB201012,20132BAB201008)资助

Uniqueness of Meromorphic Functions Concerning Nonlinear Differential Polynomials Sharing a Polynomial

Zeng Juanjuan, Liu Huifang   

  1. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022
  • Received:2015-09-20 Revised:2016-01-22 Online:2016-04-25 Published:2016-04-25
  • Supported by:

    Supported by the NSFC (11201195) and the Natural Science Foundation of Jiangxi Province (20122BAB201012, 20132BAB201008)

摘要:

研究了亚纯函数的某类非线性微分多项式弱分担一个多项式的唯一性问题,得到两个亚纯函数的唯一性定理,推广了Li和Yi(Comput Math Appl,2011,62:539-550),Chen和Zhang等(Comput Math Appl,2008,56:3000-3014)所得的结果.

关键词: 唯一性, 亚纯函数, 分担值, 微分多项式

Abstract:

In this paper, we prove some uniqueness theorems of meromorphic functions whose certain nonlinear differential polynomials share a polynomial weakly. Those results in this paper generalize and improve some previous results obtained by Li and Yi (Comput Math Appl, 2011, 62: 539-550), Chen and Zhang et al (Comput Math Appl, 2008, 56: 3000-3014).

Key words: Uniqueness, Meromorphic function, Shared values, Differential polynomial

中图分类号: 

  • O174.5