A Nicholson-type integral for the cross-product of the Bessel functions

被引：4
|
作者：
Hrycak, Tomasz [1 ]
Schmutzhard, Sebastian [2 ]
机构：
[1] Acoust Res Inst, Wohllebengasse 12-14, A-1040 Vienna, Austria
[2] Univ Cambridge, Dept Chem Engn, Pembroke St, Cambridge CB2 3RA, England
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 436卷 / 01期
关键词：
Nicholson's formula; Cross-product; Bessel functions; Hankel functions;
D O I：
10.1016/j.jmaa.2015.11.056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove a new Nicholson-type integral representation for the cross-product of the Bessel functions J(v)(w)Y-v(z) - Y-v(w)J(v)(z), and related integral representations for vertical bar H-v((1))(z)vertical bar(2), where H-v((1)) is the Hankel function of the first kind. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：168 / 178
页数：11
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