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

页码：17 / 49

页数：33

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