On Properties of Meromorphic Solutions of Certain Difference Painleve III Equations

被引：1

作者：

Lan, Shuang-Ting ^{[1
]}

Chen, Zong-Xuan ^{[1
]}

机构：

[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1155/2014/208701

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We mainly study the exponents of convergence of zeros and poles of difference and divided difference of transcendental meromorphic solutions for certain difference Painleve III equations.

引用

页数：9

共 18 条

[1] On the extension of the Painleve property to difference equations [J].

Ablowitz, MJ ;

Halburd, R ;

Herbst, B .

NONLINEARITY, 2000, 13 (03) :889-905

[2] EXACT LINEARIZATION OF A PAINLEVE TRANSCENDENT [J].

ABLOWITZ, MJ ;

SEGUR, H .

PHYSICAL REVIEW LETTERS, 1977, 38 (20) :1103-1106

[3]

[Anonymous], 1900, Bull. Soc. Math. Fr

[4] Uniqueness Theorems on Entire Functions and Their Difference Operators or Shifts [J].

Chen, Baoqin ;

Chen, Zongxuan ;

Li, Sheng .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[5] Value distribution of meromorphic solutions of certain difference Painleve equations [J].

Chen, Zong-Xuan ;

Shon, Kwang Ho .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (02) :556-566

[6] On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [J].

Chiang, Yik-Man ;

Feng, Shao-Ji .

RAMANUJAN JOURNAL, 2008, 16 (01) :105-129

[7]

Fuchs L., 1905, CR HEBD ACAD SCI, V141, P555

[8]

GAMBIER B., 1910, Acta Math., V33, P1, DOI [10.1007/BF02393211, DOI 10.1007/BF02393211)]

[9] Finite-order meromorphic solutions and the discrete Painleve equations [J].

Halburd, R. G. ;

Korhonen, R. J. .

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2007, 94 :443-474

[10] Difference analogue of the Lemma on the Logarithmic Derivative with applications to difference equations [J].

Halburd, RG ;

Korhonen, RJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :477-487

← 1 2 →