On integral representation of Bessel function of the first kind

被引：10

作者：

Drascic, B ^{[1
]}

Pogány, TK ^{[1
]}

机构：

[1] Univ Rijeka, Fac Maritime Studies, Dept Sci, Rijeka 51000, Croatia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 308卷 / 02期

关键词：

Bessel function of the first kind; Fredholm integral equation of the first kind; generalized Mathieu series; Mellin transform;

D O I：

10.1016/j.jmaa.2004.12.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A first kind Fredholm integral equation with nondegenerate kernel is given, which particular solution is the Bessel function of the first kind. This equation is solved by means of Mellin transform pair. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：775 / 780

页数：6