ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

doi:10.1016/S0252-9602(13)60077-6

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1243-1254.doi: 10.1016/S0252-9602(13)60077-6

ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

张然然^1,2|陈宗煊^2*

1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China；
2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2012-02-23 修回日期:2012-04-28 出版日期:2013-09-20 发布日期:2013-09-20
通讯作者: 陈宗煊,chzx@vip.sina.com E-mail:zhrr19820315@163.com; chzx@vip.sina.com
基金资助:
This work was supported by National Natural Science Foundation of China (11226090, 11171119) and Guangdong Natural Science Foundation (S2012040006865).

ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

ZHANG Ran-Ran^1,2, CHEN Zong-Xuan^2*

1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China；
2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2012-02-23 Revised:2012-04-28 Online:2013-09-20 Published:2013-09-20
Contact: CHEN Zong-Xuan,chzx@vip.sina.com E-mail:zhrr19820315@163.com; chzx@vip.sina.com
Supported by:
This work was supported by National Natural Science Foundation of China (11226090, 11171119) and Guangdong Natural Science Foundation (S2012040006865).

摘要/Abstract

摘要：

In this paper, meromorphic solutions of Riccati and linear difference equations are investigated. The growth and Borel exceptional values of these solutions are discussed, and the growth, zeros and poles of differences of these solutions are also investigated. Furthermore, several examples are given showing that our results are best possible in certain senses.

关键词: complex difference equation, growth order, Borel exceptional value

Abstract:

Key words: complex difference equation, growth order, Borel exceptional value

中图分类号:

30D35

张然然, 陈宗煊. ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2013, 33(5): 1243-1254.

ZHANG Ran-Ran, CHEN Zong-Xuan. ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS[J]. Acta mathematica scientia,Series B, 2013, 33(5): 1243-1254.

参考文献

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ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

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