PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

doi:10.1016/S0252-9602(17)30110-8

数学物理学报(英文版) ›› 2017, Vol. 37 ›› Issue (6): 1830-1840.doi: 10.1016/S0252-9602(17)30110-8

PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

兰双婷¹, 陈宗煊²

1. Department of Mathematics, Guangzhou Civil Aviation College, Guangzhou 510403, China;
2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

收稿日期:2016-05-28 修回日期:2017-06-18 出版日期:2017-12-25 发布日期:2017-12-25
作者简介:Shuangting LAN,wqh200811@126.com;Zongxuan CHEN,chzx@vip.sina.com
基金资助:
The project was supported the Natural Science Foundation of Guangdong Province in China (2016A030310106, 2014A030313422), Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province of China (Yq20145084602).

PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

Shuangting LAN¹, Zongxuan CHEN²

1. Department of Mathematics, Guangzhou Civil Aviation College, Guangzhou 510403, China;
2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Received:2016-05-28 Revised:2017-06-18 Online:2017-12-25 Published:2017-12-25
Supported by:
The project was supported the Natural Science Foundation of Guangdong Province in China (2016A030310106, 2014A030313422), Training Plan Fund of Outstanding Young Teachers of Higher Learning Institutions of Guangdong Province of China (Yq20145084602).

摘要/Abstract

摘要：

In this paper, we investigate difference Painlevé IV equations, and obtain some results on Nevanlinna exceptional values of transcendental meromorphic solutions w(z) with finite order, their differences △w(z)=w(z + 1)-w(z) and divided differences ((△w(z))/(w(z))).

关键词: difference Painlevé, IV equation, Nevanlinna exceptional value, fixed point

Abstract:

Key words: difference Painlevé, IV equation, Nevanlinna exceptional value, fixed point

兰双婷, 陈宗煊. PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS[J]. 数学物理学报(英文版), 2017, 37(6): 1830-1840.

Shuangting LAN, Zongxuan CHEN. PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS[J]. Acta mathematica scientia,Series B, 2017, 37(6): 1830-1840.

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PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

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