Computation of infinite integrals involving three Bessel functions by introduction of new formalism

被引：41
作者：
Fabrikant, VI [1 ]
机构：
[1] Archambault Jail, Ste Anne Des Plaines, PQ J0N 1H0, Canada
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2003年 / 83卷 / 06期
关键词：
D O I：
10.1002/zamm.200310059
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It has been accepted by many scientists, that whatever can be done in the field of evaluation of integrals of Bessel functions, had already been done, and that nothing new or important can be introduced at this stage. This article is written to disprove such a notion. Introduction of a new and elegant formalism not only allows simple computations of various integrals in terms of elementary functions, it also allows to discover errors (or misprints) in long standing results, which by now have entered practically all respectable tables of integrals.
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收藏
页码：363 / 374
页数：12
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