An Automatic Integration of Infinite Range Integrals Involving Bessel Functions
نویسنده
چکیده
An efficient automatic quadrature procedure is developed for numerically computing the integrals 0 , where the function is smooth and nonoscillatory at infinity and is the Bessel functions of order ν =1,0 and 1/4. The procedure involves the use of an automatic integration scheme of modified FFT used for evaluating Fourier integrals and product type integration, and the modified W-transformation used for computing oscillatory infinite integrals. dt ) t ( f ) t ( J ω ν ∫ ∞ ) t ( f ) t ( J ω ν Key-words: Automatic integration, infinite oscillatory integral, Bessel function, Hankel transform, modified W-transformation, Chebyshev expansion, FFT.
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