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ON PROPERTIES OF FINITE-ORDER MEROMORPHIC SOLUTIONS OF A CERTAIN DIFFERENCE PAINLEVÉ I EQUATION

Part of: Entire and meromorphic functions, and related topics

Published online by Cambridge University Press:  08 December 2011

MEI-RU CHEN  and
ZONG-XUAN CHEN
MEI-RU CHEN*
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China (email: chenmeiru2005@163.com)
ZONG-XUAN CHEN
Affiliation:
School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, PR China (email: chzx@vip.sina.com)
*
✉For correspondence; e-mail: chenmeiru2005@163.com
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Abstract

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In this paper, we investigate properties of finite-order transcendental meromorphic solutions, rational solutions and polynomial solutions of the difference Painlevé I equation where a, b and c are constants, ∣a∣+∣b∣≠0.

Keywords

difference Painlevé equationtranscendental solutionrational solutionpolynomial solution

MSC classification

Secondary: 30D35: Distribution of values, Nevanlinna theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 3 , June 2012 , pp. 463 - 475
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

Footnotes

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

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