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 | References | Similar Articles | Additional Information

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