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Evaluating infinite integrals involving products of Bessel functions of arbitrary order. (English) Zbl 0853.65028
The numerical evaluation of integrals with products of Bessel functions is considered. The oscillatory behaviour of the product of the Bessel function may be very irregular, and transform techniques are not always efficient in that case. After a few analytical steps the integral is split up into integrals with more regular behaviour. Numerical results show the efficiency of the method.

65D32Quadrature and cubature formulas (numerical methods)
33C10Bessel and Airy functions, cylinder functions, ${}_0F_1$
41A55Approximate quadratures
65D20Computation of special functions, construction of tables
Full Text: DOI
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