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Quadrature Formulas for Oscillatory Integral Transforms
This research was supported in part by the Natural Sciences and Engineering Research Council of Canada under Contract A 7359
https://doi.org/10.1142/9789814656054_0016Cited by:0 (Source: Crossref)
Abstract:
Quadrature formulas are obtained for the Fourier and Bessel transforms which correspond to the well-known Gauss-Laguerre formula for the Laplace transform. These formulas provide effective asymptotic approximations, complete with error bounds. Comparison is also made between the quadrature formulas and the asymptotic expansions of these transforms.
