数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 1141-1148.doi: 10.1016/S0252-9602(12)60086-1

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ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS

陈宗煊   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2010-09-18 修回日期:2010-11-17 出版日期:2012-05-20 发布日期:2012-05-20
  • 基金资助:

    This project was supported by the National Natural Science Foundation of China (11171119 and 10871076).

ZEROS OF ENTIRE SOLUTIONS TO COMPLEX LINEAR DIFFERENCE EQUATIONS

 CHEN Zong-Xuan   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2010-09-18 Revised:2010-11-17 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    This project was supported by the National Natural Science Foundation of China (11171119 and 10871076).

摘要:

In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.

关键词: Linear difference equation, complex oscillation, zero, order of growth

Abstract:

In this article, we study the complex oscillation problems of entire solutions to homogeneous and nonhomogeneous linear difference equations, and obtain some relations of the exponent of convergence of zeros and the order of growth of entire solutions to complex linear difference equations.

Key words: Linear difference equation, complex oscillation, zero, order of growth

中图分类号: 

  • 30D35