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Evaluating infinite integrals involving Bessel functions of arbitrary order. (English) Zbl 0857.65025
The paper considers integrals of the form 0 f(x)J n (x)dx for any nonnegative value of the order n. Several summation methods for oscillating series in connection with this kind of integrals are discussed, and a technique for calculating zeros of Bessel functions is outlined.
MSC:
65D20Computation of special functions, construction of tables
65D32Quadrature and cubature formulas (numerical methods)
65H05Single nonlinear equations (numerical methods)
33C10Bessel and Airy functions, cylinder functions, 0 F 1
65B10Summation of series (numerical analysis)