Articles

ON MEROMORPHIC SOLUTIONS OF RICCATI AND LINEAR DIFFERENCE EQUATIONS

  • ZHANG Ran-Ran ,
  • CHEN Zong-Xuan
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  • 1. Department of Mathematics, Guangdong University of Education, Guangzhou 510303, China;
    2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received date: 2012-02-23

  Revised date: 2012-04-28

  Online published: 2013-09-20

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(13)60077-6

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