数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (3): 773-780.doi: 10.1016/S0252-9602(13)60037-5

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ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS

崔巍巍|杨连忠*   

  1. School of Mathematics, Shandong University, Jinan 250100, China
  • 收稿日期:2011-01-04 出版日期:2013-05-20 发布日期:2013-05-20
  • 通讯作者: 杨连忠,lzyang@sdu.edu.cn E-mail:cww19890725@163.com; lzyang@sdu.edu.cn
  • 基金资助:

    The second author was supported by the NSF of Shandong Province, China (ZR2010AM030) and the NNSF of China (11171013 & 11041005).

ZEROS AND FIXED POINTS OF DIFFERENCE OPERATORS OF MEROMORPHIC FUNCTIONS

 CUI Wei-Wei, YANG Lian-Zhong*   

  1. School of Mathematics, Shandong University, Jinan 250100, China
  • Received:2011-01-04 Online:2013-05-20 Published:2013-05-20
  • Contact: YANG Lian-Zhong,lzyang@sdu.edu.cn E-mail:cww19890725@163.com; lzyang@sdu.edu.cn
  • Supported by:

    The second author was supported by the NSF of Shandong Province, China (ZR2010AM030) and the NNSF of China (11171013 & 11041005).

摘要:

Let f be a transcendental meromorphic function and Δf(z) = f(z + 1) − f(z). A number of results are proved concerning the existences of zeros and fixed points of Δf(z) and Δf(z)/f(z) when f(z) is of order σ(f)=1. Examples show that some of the results are sharp.

关键词: Entire functions, meromorphic functions, complex difference, fixed points, Zeros

Abstract:

Let f be a transcendental meromorphic function and Δf(z) = f(z + 1) − f(z). A number of results are proved concerning the existences of zeros and fixed points of Δf(z) and Δf(z)/f(z) when f(z) is of order σ(f)=1. Examples show that some of the results are sharp.

Key words: Entire functions, meromorphic functions, complex difference, fixed points, Zeros

中图分类号: 

  • 30D35