About Jackson q-Bessel functions

被引：14

作者：

Zhang, CG ^{[1
]}

机构：

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

来源：

JOURNAL OF APPROXIMATION THEORY | 2003年 / 122卷 / 02期

关键词：

q-Bessel function; connection matrm; Jacobi's theta function; q-Borel-Laplace transform;

D O I：

10.1016/S0021-9045(03)00073-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Laplace transform allows to resolve differential equations in the neighborhood of an irregular singular point. The purpose of the article is to study how to apply a basic Borel-Laplace transformation to q-difference equations satisfied by the q-Bessel functions of F.H. Jackson. Connection matrices are obtained between solutions at the origin and solutions at infinity. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：208 / 223

页数：16

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