On functions defined by sums of products of Bessel functions

On functions defined by sums of products of Bessel functions
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关于由贝塞尔函数的乘积之和定义的函数

DOI:
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发表时间:
2008
期刊:
影响因子:
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通讯作者:
P. A. Martin
P. A. Martin
中科院分区:
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文献类型:
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作者:
P. A. Martin

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研究了定义为第一类贝塞尔函数积无穷级数的各种函数。得到积分表示,然后用它来推导渐近逼近。虽然已经研究了几种方法(包括幂级数展开和积分变换),但基于傅里叶级数的方法是最有用的。
Various functions, defined as infinite series of products of Bessel functions of the first kind, are studied. Integral representations are obtained, and then used to deduce asymptotic approximations. Although several methods have been investigated (including power series expansions and integral transforms), methods based on Fourier series emerge as the most useful.
DOI: 10.1016/j.wavemoti.2008.03.004
发表时间: 2008
期刊: Wave Motion
影响因子: 2.4
作者:
Martin P
通讯作者: Martin P