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Numerical quadrature of Fourier transform integrals


Authors: H. Hurwitz and P. F. Zweifel
Journal: Math. Comp. 10 (1956), 140-149
MSC: Primary 65.3X
DOI: https://doi.org/10.1090/S0025-5718-1956-0080994-9
MathSciNet review: 0080994
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  • [1] L. N. G. Filon, ``On a quadrature for trigonometric integrals,'' Royal Soc. Edinburgh, Proc., v. 49, 1928, p. 38-17.
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  • [3] H. Mineur, Techniques de Calcul Numérique à l'Usage des Mathématiciens, Astronomes, Physiciens et Ingénieurs, Librarie Polytechnique, Paris, 1952; L. V. Spencer, ``Penetration and diffusion of X-Rays: calculation of spatial distributions by semi-asymptotic methods,'' Phys. Rev., v. 88, 1952, p. 793-803.
  • [4] A. Erdélyi, W. Magnus, F. Oberhettinger, & F. G. Tricomi, Higher Transcendental Functions, v. 2, McGraw-Hill, Inc., New York, 1953.
  • [5] Thomas Jon I'Anson Bromwich, An Introduction to the Theory of Infinite Series, 2nd Ed., MacMillan & Co., Ltd., London, 1947.
  • [6] Daniel Shanks, Non-linear transformations of divergent and slowly convergent sequences, J. Math. and Phys. 34 (1955), 1–42. MR 0068901, https://doi.org/10.1002/sapm19553411
  • [7] Konrad Knopp, Theory and Application of Infinite Series, Blackie & Son, Ltd., London, 1928.

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DOI: https://doi.org/10.1090/S0025-5718-1956-0080994-9
Article copyright: © Copyright 1956 American Mathematical Society