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Zbl 0853.65028
Lucas, S.K.
Evaluating infinite integrals involving products of Bessel functions of arbitrary order. (English)
[J] J. Comput. Appl. Math. 64, No.3, 269-282 (1995). ISSN 0377-0427

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.
[N.M.Temme (Amsterdam)]

MSC 2000:: *65D32 Quadrature formulas (numerical methods)
33C10 Cylinder functions, etc.
41A55 Approximate quadratures
65D20 Computation of special functions

Keywords: numerical quadrature; extrapolation; sequence transformation; numerical results; integrals with products of Bessel functions

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