INTEGRAL REPRESENTATION FOR NEUMANN SERIES OF BESSEL FUNCTIONS

被引：24

作者：

Pogany, Tibor K. ^{[1
]}

Sueli, Endre ^{[2
]}

机构：

[1] Univ Rijeka, Fac Maritime Studies, HR-51000 Rijeka, Croatia

[2] Univ Oxford, Comp Lab, Oxford OX1 3QD, England

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 137卷 / 07期

关键词：

Bessel function of the first kind J(nu)(x); integral representation of series; Neumann series of Bessel functions; WAVES;

D O I：

10.1090/S0002-9939-09-09796-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A closed integral expression is derived for Neumann series of Bessel functions - a series of Bessel functions of increasing order - over the set of real numbers.

引用

页码：2363 / 2368

页数：6

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