On the numerical evaluation of an oscillating infinite series
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摘要
An oscillating infinite series involving products of the Bessel function J0(x) is evaluated. The series is transformed first into the sum of three infinite integrals by using contour integration and then the infinite integral with oscillating integrand is transformed by some identities into an expression containing modified Bessel functions only. Finally, this expression and the other infinite integrals are evaluated numerically without any computational difficulties at all.
论文关键词:Oscillating infinite series,transformations
论文评审过程:Received 3 May 1988, Revised 24 January 1989, Available online 1 April 2002.
论文官网地址:https://doi.org/10.1016/0377-0427(89)90349-X