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- W2038996889 abstract "The evaluation of intergrals of the form In = ∫0∞ ƒ(x)Jn(x)dx is considered. In the past, the method of dividing an oscillatory integral at its zeros, forming a sequence of partial sums, and using extrapolation to accelerate convergence has been found to be the most efficient technique available where the oscillation is due to a trigonometric function or a Bessel function of order n = 0, 1. Here, we compare various extrapolation techniques as well as choices of endpoints in dividing the integral, and establish the most efficient method for evaluating infinite integrals involving Bessel functions of any order n, not just zero or one. We also outline a simple but very effective technique for calculating Bessel function zeros." @default.
- W2038996889 created "2016-06-24" @default.
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- W2038996889 date "1995-12-01" @default.
- W2038996889 modified "2023-10-03" @default.
- W2038996889 title "Evaluating infinite integrals involving Bessel functions of arbitrary order" @default.
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- W2038996889 doi "https://doi.org/10.1016/0377-0427(95)00142-5" @default.
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