A method for computing Bessel function integrals
A method for computing Bessel function integrals
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DOI：
10.1016/0021-9991(88)90116-7
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发表时间：
1988-04
影响因子：
4.1
通讯作者：
M. Puoskari
中科院分区：
文献类型：
--
作者：
M. Puoskari
本文给出了含整数阶或整数加半阶贝塞尔函数的积分的数值计算方法。该计算首先涉及一维傅立叶正弦或余弦变换，然后在贝塞尔函数的情况下评估傅立叶变换函数的切比雪夫级数的系数，并且在球面贝塞尔函数的情况下评估勒让德展开系数。还给出了计算涉及任意真实的阶v的贝塞尔函数的积分的方法的推广。
A method for numerical calculation of integrals containing Bessel functions of integer or integer plus one-half order is described. The calculation involves first a one-dimensional Fourier sine or cosine transform followed by evaluation of the coefficient of the Chebyshev series of the Fourier-transformed function in the case of the Bessel function and evaluation of the Legendre expansion coefficient in the case of the spherical Bessel function. A generalization of the method for the computation of an integral involving the Bessel function of arbitrary real order v is presented as well.