Convolution structure of the Bessel transform and the generalization of a theorem of Watson

被引：0

作者：

Heymann, F. ^{[1
]}

Lasser, R. ^{[1
]}

机构：

[1] Hemholtz Zentrum Munchen, Inst Biomath & Biometry, D-85764 Neuherberg, Germany

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2010年 / 21卷 / 05期

关键词：

Bessel transform; integral transforms; convolution structure; special functions;

D O I：

10.1080/10652460903255657

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the Bessel integral transform (also called the Hankel transform), we derive Watson's theorem, generalizing the corresponding result for the Fourier-cosine-transform. Therefore, we derive numerous integral formulas for products of modified Bessel functions, which are necessary for the proof.

引用

页码：319 / 326

页数：8