数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1281-1294.doi: 10.1016/S0252-9602(11)60315-9

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ON DIFFERENCE EQUATIONS RELATING TO GAMMA FUNCTION

陈宗煊, 黄志波, 张然然   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2009-11-13 修回日期:2010-02-01 出版日期:2011-07-20 发布日期:2011-07-20
  • 基金资助:

    This project was supported by the National Natural Science Foundation of China (10871076; 11026096).

ON DIFFERENCE EQUATIONS RELATING TO GAMMA FUNCTION

 CHEN Zong-Xuan, HUANG Zhi-Bo, ZHANG Ran-Ran   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2009-11-13 Revised:2010-02-01 Online:2011-07-20 Published:2011-07-20
  • Supported by:

    This project was supported by the National Natural Science Foundation of China (10871076; 11026096).

摘要:

We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y(z + 1) − y(z) = R(z) and y(z + 1) = P(z)y(z).

关键词: difference equation, meromorphic function, Borel exceptional value

Abstract:

We consider the existence, the growth, poles, zeros, fixed points and the Borel exceptional value of solutions for the following difference equations relating to Gamma function y(z + 1) − y(z) = R(z) and y(z + 1) = P(z)y(z).

Key words: difference equation, meromorphic function, Borel exceptional value

中图分类号: 

  • 30D35