Asymptotic expansion and summability of solutions of linear q-difference equations.

被引：13

作者：

Ramis, JP

Sauloy, J

Zhang, CG

机构：

[1] Univ Toulouse 3, Lab Emile Picard, CNRS UMR 5580, F-31062 Toulouse 4, France

[2] Univ Toulouse 3, IUF, UFR MIG, F-31062 Toulouse, France

[3] Univ Sci & Technol Lille, CNRS UMR 8524, UFR Math, Lab P Painleve, F-59655 Villeneuve Dascq, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 07期

关键词：

D O I：

10.1016/j.crma.2006.01.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe q-analogs of asymptotic expansions and of multisummable series and we apply therm to the local analytic classification of irregular linear q-difference equations, thus answering questions of G.D. Birkhoff.

引用

页码：515 / 518

页数：4

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