PROPERTIES OF DIFFERENCE PAINLEV&Eacute; IV EQUATIONS

Shuangting LAN; Zongxuan CHEN

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

Acta mathematica scientia, Series B >

2017 , Vol. 37 >Issue 6: 1830 - 1840

DOI: https://doi.org/10.1016/S0252-9602(17)30110-8

Articles

PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS

Shuangting LAN ,
Zongxuan CHEN

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

Received date: 2016-05-28

Revised date: 2017-06-18

Online 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).

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Abstract

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))).

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

Cite this article

Shuangting LAN , Zongxuan CHEN . PROPERTIES OF DIFFERENCE PAINLEVÉ IV EQUATIONS[J]. Acta mathematica scientia, Series B, 2017 , 37(6) : 1830 -1840 . DOI: 10.1016/S0252-9602(17)30110-8

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