Value distribution of Painleve transcendents of the first and the second kind

被引：6
作者：
Shimomura, S [1 ]
机构：
[1] Keio Univ, Dept Math, Yokohama, Kanagawa 2238522, Japan
来源：
JOURNAL D ANALYSE MATHEMATIQUE | 2000年 / 82卷 / 1期
关键词：
Meromorphic Function; Simple Zero; Meromorphic Solution; Linear Ordinary Differential Equation; Transcendental Meromorphic Function;
D O I：
10.1007/BF02791233
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We examine value distribution properties of the first and the second Painleve transcendents. For every transcendental meromorphic solution phi (z) (resp. psi (z)) of the first (resp. second) Painleve equation, the deficiency delta (g, phi) (resp. delta (g, psi)) of a small function g(z) does not exceed 1/2. Furthermore, for phi (z), the ramification index satisfies v(g, phi) less than or equal to 5/12.
引用
收藏
页码：333 / 346
页数：14
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