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.
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页码：197 / 206
页数：10
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