Value distribution of meromorphic solutions of certain difference Painleve III equations

被引：1

作者：

Du, Yunfei ^{[1
]}

Chen, Minfeng ^{[1
]}

Gao, Zongsheng ^{[1
]}

Zhao, Ming ^{[2
]}

机构：

[1] Beihang Univ, LMIB Sch Math & Syst Sci, Beijing, Peoples R China

[2] China Univ Geosci Beijing, Sch Sci, Beijing, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

Meromorphic function; Difference; Divided difference; Difference Painleve III equations;

D O I：

10.1186/s13662-018-1623-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the difference Painleve III equations w(z + 1)w(z - 1)(w(z) - 1)(2) = w(2) (z) - lambda w(z) + mu(lambda mu not equal 0) and w(z + 1)w(z - 1)(w(z) - 1)(2) = w(2)(z), and obtain some results about the properties of the finite order transcendental meromorphic solutions. In particular, we get the precise estimations of exponents of convergence of poles of difference Delta w(z) = w(z + 1) - w(z) and divided difference Delta w(z)/w(z), and of fixed points of w(z + eta) (eta is an element of C \ {0}).

引用

页数：13

共 15 条

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