Acta mathematica scientia,Series B ›› 2013, Vol. 33 ›› Issue (5): 1243-1254.doi: 10.1016/S0252-9602(13)60077-6

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ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

 ZHANG Ran-Ran1,2, CHEN Zong-Xuan2*   

  1. 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).

Abstract:

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.

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

CLC Number: 

  • 30D35
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