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.

引用

页码：42 / 45

页数：4