The first, the second and the fourth Painleve transcendents are of finite order

被引：9
|
作者：
Shimomura, S [1 ]
机构：
[1] Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan
来源：
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2001年 / 77卷 / 03期
关键词：
Painleve equations; growth order;
D O I：
10.3792/pjaa.77.42
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every solution of the first Painleve equation has the finite growth order. The second and the fourth Painleve equations have the same property.
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页码：42 / 45
页数：4
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