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Quadrature formulas for oscillatory integral transforms. (English) Zbl 0477.65090

MSC:
65R10Integral transforms (numerical methods)
65D32Quadrature and cubature formulas (numerical methods)
65T40Trigonometric approximation and interpolation (numerical methods)
44A15Special transforms (Legendre, Hilbert, etc.)
42A38Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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Full Text: DOI EuDML
References:
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[10] Shao, T.S., Chen, T.C., Frank, R.M.: Tables of zeros and Gaussian weights of certain associated Laguerre polynomials and the related generalized Hermite polynomials. Math. Comput.18, 598-616 (1964) · Zbl 0123.34501 · doi:10.1090/S0025-5718-1964-0166397-1
[11] Stenger, F.: Numerical methods based on Whittaker cardinal, or sinc functions. SIAM Rev.23, 165-224 (1981) · Zbl 0461.65007 · doi:10.1137/1023037
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[14] Ting, B.Y., Luke, Y.L.: Computation of integrals with oscillatory and singular integrands. Math. Comput.37, 169-183 (1981) · Zbl 0495.65008 · doi:10.1090/S0025-5718-1981-0616369-5
[15] Titchmarch, E.C.: The Theory of Functions. 2nd ed., Oxford, London, New York: University Press 1939
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