数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (3): 593-609.doi: 10.1016/S0252-9602(14)60032-1

• 论文 •    下一篇

UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN

李效敏*|仪洪勋   

  1. Department of Mathematics, Ocean University of China, Qingdao 266100, China|Department of Physics and Mathematics, University of Eastern Finland P.O.Box 111, 80101 Joensuu, Finland; Department of Mathematics, Shandong University, Jinan 250100, China
  • 收稿日期:2009-08-24 修回日期:2013-04-10 出版日期:2014-05-20 发布日期:2014-05-20
  • 通讯作者: 李效敏,xmli01267@gmail.com E-mail:xmli01267@gmail.com;hxyi@sdu.edu.cn
  • 基金资助:

    The first author and the second author are supported by the NSFC (11171184) and the NSF of Shandong Province, China (Z2008A01).

UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE NONLINEAR DIFFERENTIAL POLYNOMIALS SHARE ONE VALUE OR HAVE THE SAME FIXED POINTS IN AN ANGULAR DOMAIN

 LI Xiao-Min*, YI Hong-Xun   

  1. Department of Mathematics, Ocean University of China, Qingdao 266100, China|Department of Physics and Mathematics, University of Eastern Finland P.O.Box 111, 80101 Joensuu, Finland; Department of Mathematics, Shandong University, Jinan 250100, China
  • Received:2009-08-24 Revised:2013-04-10 Online:2014-05-20 Published:2014-05-20
  • Contact: LI Xiao-Min,xmli01267@gmail.com E-mail:xmli01267@gmail.com;hxyi@sdu.edu.cn
  • Supported by:

    The first author and the second author are supported by the NSFC (11171184) and the NSF of Shandong Province, China (Z2008A01).

摘要:

In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6].

关键词: Meromorphic functions, shared values, singular directions, uniqueness theo-rems in the angular domain

Abstract:

In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6].

Key words: Meromorphic functions, shared values, singular directions, uniqueness theo-rems in the angular domain

中图分类号: 

  • 30D35