A UNIFIED APPROACH TO THE PAINLEVE TRANSCENDENTS

被引：2
|
作者：
Steinmetz, Norbert [1 ]
机构：
[1] Tech Univ Dortmund, Fak Math, D-44221 Dortmund, Germany
来源：
ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2017年 / 42卷 / 01期
关键词：
Stokes sector; Stokes ray; asymptotic expansion; re-scaling; pole-free sector; Airy equation; Weber-Hermite equation; sub-normal solution; ALGEBRAIC DIFFERENTIAL-EQUATIONS; MEROMORPHIC SOLUTIONS; 2ND; GROWTH; 1ST;
D O I：
10.5186/aasfm.2017.4203
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We utilise a recent approach via the so-called re-scaling method to derive a unified and comprehensive theory of the solutions to Painleve's differential equations (I), (II) and (IV), with emphasis on the most elaborate equation (IV).
引用
收藏
页码：17 / 49
页数：33
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