On the solution of a Painlevé III equation

被引：0
|
作者：
Widom H. [1 ]
机构：
[1] Department of Mathematics, University of California, Santa Cruz
来源：
Mathematical Physics, Analysis and Geometry | 2000年 / 3卷 / 4期
基金：
美国国家科学基金会;
关键词：
Fredholm determinant; Painlevé; equation; Sinh-Gordon equation;
D O I：
10.1023/A:1011471211346
中图分类号：
学科分类号：
摘要：
In a 1977 paper of B. M. McCoy, C. A. Tracy and T. T. Wu there appeared for the first time the solution of a Painleve equation in terms of Fredholm determinants of integral operators. Their proof is quite complicated. We present here one which is more straightforward and makes use of recent work of the author and C. A. Tracy. © 2001 Kluwer Academic Publishers.
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页码：375 / 384
页数：9
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