Meromorphic solutions of higher order Briot-Bouquet differential equations

被引：53

作者：

Eremenko, Alexandre E. ^{[1
]}

Liao, Liangwen ^{[2
]}

Ng, Tuen Wai ^{[3
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

[2] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[3] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2009年 / 146卷

关键词：

D O I：

10.1017/S030500410800176X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For differential equations P (y((k)), y) = 0, where P is a polynomial, we prove that all meromorphic solutions having at least one pole are elliptic functions, possibly degenerate.

引用

页码：197 / 206

页数：10

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