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Mathematics of Computation

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A method for computing Bessel function integrals


Author: Peter Linz
Journal: Math. Comp. 26 (1972), 509-513
MSC: Primary 65D20
DOI: https://doi.org/10.1090/S0025-5718-1972-0303687-8
MathSciNet review: 0303687
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Abstract: Infinite integrals involving Bessel functions are recast, by means of an Abel transform, in terms of Fourier integrals. As there are many efficient numerical methods for computing Fourier integrals, this leads to a convenient way of approximating Bessel function integrals.


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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1972-0303687-8
Keywords: Bessel functions, Fourier-Bessel coefficients, Hankel transforms, numerical integration
Article copyright: © Copyright 1972 American Mathematical Society