数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1277-1289.doi: 10.1007/s10473-019-0507-9

• 论文 • 上一篇    下一篇

ON FIXED POINTS OF MEROMORPHIC FUNCTIONS f(z) AND f(z + c),∆cf(z)

蓝双婷1, 陈宗煊2   

  1. 1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2018-05-16 修回日期:2018-08-07 出版日期:2019-10-25 发布日期:2019-11-11
  • 通讯作者: Zongxuan CHEN E-mail:chzx@vip.sina.com
  • 作者简介:Shuangting LAN,E-mail:wqh200811@126.com
  • 基金资助:
    The project was supported by the Natural Science Foundation of Guangdong Province in China (2016A030310106), the National Natural Science Foundation of China (11801110, 11771090, 11761035, 11871260), the Foundation of Guangzhou Civil Aviation College (17X0419).

ON FIXED POINTS OF MEROMORPHIC FUNCTIONS f(z) AND f(z + c),∆cf(z)

Shuangting LAN1, Zongxuan CHEN2   

  1. 1. School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2018-05-16 Revised:2018-08-07 Online:2019-10-25 Published:2019-11-11
  • Contact: Zongxuan CHEN E-mail:chzx@vip.sina.com
  • Supported by:
    The project was supported by the Natural Science Foundation of Guangdong Province in China (2016A030310106), the National Natural Science Foundation of China (11801110, 11771090, 11761035, 11871260), the Foundation of Guangzhou Civil Aviation College (17X0419).

摘要: Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z +c) and forward differences ∆cn f(z), n ∈ N+.

关键词: fixed points, meromorphic function, differences

Abstract: Let c be a nonzero constant and f(z) be a transcendental meromorphic function of finite order. Under some conditions, we study the relationships between the exponent of convergence of fixed points of f(z), its shift f(z +c) and forward differences ∆cn f(z), n ∈ N+.

Key words: fixed points, meromorphic function, differences

中图分类号: 

  • 30D35