数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (2): 724-734.doi: 10.1016/S0252-9602(12)60052-6

• 论文 • 上一篇    下一篇

ON PROPERTIES OF q-DIFFERENCE EQUATIONS

郑秀敏1,2|陈宗煊2*   

  1. 1. Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • 收稿日期:2010-03-29 出版日期:2012-03-20 发布日期:2012-03-20
  • 通讯作者: 陈宗煊,chzx@vip.sina.com E-mail:zhengxiumin2008@sina.com; chzx@vip.sina.com
  • 基金资助:

    This project was supported by the National Natural Science Foundation of China (11171119, 11126145, 11026096) and the Nature Science Foundation of Jiangxi Province in China (20114BAB211003).

ON PROPERTIES OF q-DIFFERENCE EQUATIONS

 ZHENG Xiu-Min1,2, CHEN Zong-Xuan2*   

  1. 1. Institute of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, China
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
  • Received:2010-03-29 Online:2012-03-20 Published:2012-03-20
  • Contact: CHEN Zong-Xuan,chzx@vip.sina.com E-mail:zhengxiumin2008@sina.com; chzx@vip.sina.com
  • Supported by:

    This project was supported by the National Natural Science Foundation of China (11171119, 11126145, 11026096) and the Nature Science Foundation of Jiangxi Province in China (20114BAB211003).

摘要:

In this article, we consider some type of q-difference equations, which have meromorphic solutions with Borel exceptional zeros and poles. We also give a precise result in the finite order case and some further results in a particular case where qi = qi.

关键词: q-difference equation, meromorphic solution, Borel exceptional zeros and poles

Abstract:

In this article, we consider some type of q-difference equations, which have meromorphic solutions with Borel exceptional zeros and poles. We also give a precise result in the finite order case and some further results in a particular case where qi = qi.

Key words: q-difference equation, meromorphic solution, Borel exceptional zeros and poles

中图分类号: 

  • 30D35