Expansion of solutions to the fifth Painlevé equation in a neighborhood of a nonsingular point

被引：0
|
作者：
Karulina E.S.
机构：
来源：
Journal of Mathematical Sciences | 2007年 / 145卷 / 5期
基金：
俄罗斯基础研究基金会;
关键词：
Arbitrary Constant; Compatibility Condition; Characteristic Polynomial; Normal Cone; Critical Number;
D O I：
10.1007/s10958-007-0350-8
中图分类号：
学科分类号：
摘要：
For the fifth Painlevé equation, the asymptotic expansions of solutions are obtained in a neighborhood of a nonsingular point of the independent variable by using methods of power geometry. Four families of expansions are found. All of these expansions are convergent series in integral powers with complex coefficients. © 2007 Springer Science+Business Media, Inc.
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页码：5252 / 5259
页数：7
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