Generalized series of Bessel functions

被引：17

作者：

Al-Jarrah, A

Dempsey, KM ^{[1
]}

Glasser, ML

机构：

[1] Clarkson Univ, Dept Math & Comp Sci, Potsdam, NY 13699 USA

[2] Yarmouk Univ, Dept Math, Irbid, Jordan

[3] Clarkson Univ, Dept Phys, Potsdam, NY 13699 USA

[4] Clarkson Univ, Ctr Quantum Device Technol, Potsdam, NY 13699 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2002年 / 143卷 / 01期

基金：

美国国家科学基金会;

关键词：

Bessel functions; Neumann series;

D O I：

10.1016/S0377-0427(01)00505-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Known series of Bessel functions, currently available in handbooks, and many of Neumann type, are generalized to arbitrary order. The underlying result is a Poisson formula due to Titchmarsh. This formula gives rise to a Neumann series involving modified Bessel functions of integral order. The latter is the basis of many of the generalized series that follow. Included are examples of generalized trigonometric identities. The paper concludes by indicating the wide range of results that can be obtained. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：1 / 8

页数：8