q-Borel-Laplace transforms by means of the Jacobi theta function

被引：16

作者：

Zhang, CG ^{[1
]}

机构：

[1] Univ La Rochelle, Dept Math, F-17042 La Rochelle, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 2000年 / 331卷 / 01期

关键词：

D O I：

10.1016/S0764-4442(00)00327-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a notion of asymptotic expansion adapted for one order q-Gevrey power series. It's shown that this notion is naturally related to the Jacobi theta function, which is a q-analog of the usual exponential function. A summation method is then obtained (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.

引用

页码：31 / 34

页数：4