Complete elliptic integrals resulting from infinite integrals of Bessel functions .II.
Complete elliptic integrals resulting from infinite integrals of Bessel functions .II.
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由贝塞尔函数的无限积分得出的完全椭圆积分。
DOI：
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发表时间：
1974
期刊：
影响因子：
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通讯作者：
S. Okui
中科院分区：
文献类型：
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作者：
S. Okui
此表主要面向面临计算涉及贝塞尔函数的无限积分问题的应用数学家、物理学家和工程师。在前文中，用方便的封闭形式编写了贝塞尔函数及其乘积的L无穷积分。本文给出了涉及贝塞尔函数与三角、双曲函数乘积的一个表。它还包含了修改的贝塞尔函数的某些类型的无限重积分，这是在信号统计和噪声理论领域中经常遇到的。在整篇文章中，参数通常是正实数，在一节中多次出现的记号在该节的顶部进行了解释。
This table is primarily intended for applied mathematicians, physicists and engineers faced with the problem of evaluating infinite integrals involving Bessel functions. In a previous paper,l infinite integrals of Bessel functions and their products were compiled in conveniently closed form. In this paper, a table is prepared for those involving products of Bessel and trigonometric or hyperbolic functions. It also contains certain kinds of infinite double integrals of modified Bessel functions, which are often encountered especially in the fields of signal statistics and noise theory. Throughout this paper, the parameters are usually positive real and notations occurring several times on a section are explained at the top of the section.