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Mathematics of Computation

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Numerical quadrature and asymptotic expansions


Authors: J. N. Lyness and B. W. Ninham
Journal: Math. Comp. 21 (1967), 162-178
MSC: Primary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1967-0225488-X
MathSciNet review: 0225488
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References [Enhancements On Off] (What's this?)

  • [1] M. J. Lighthill, Introduction to Fourier Analysis and Generalised Functions, Cambridge Univ. Press, New York, 1958; 1960. MR 19, 1066; MR 22 #5888. MR 0092119 (19:1066a)
  • [2] E. T. Whittaker & G. N. Watson, A Course of Modern Analysis, Cambridge Univ. Press, New York, 1958. MR 1424469 (97k:01072)
  • [3] A. Erdélyi, W. Magnus, F. Oberhettinger & F. G. Tricomi, Higher Transcendental Functions, Vol. 1, (Calif. Inst. Tech. Bateman Manuscript Project), Chapter 1, McGraw-Hill, New York, 1953, MR 15, 419.
  • [4] G. N. Watson, Theory of Bessel Functions, Cambridge Univ. Press, New York, 1958, p. 419.
  • [5] I. Navot, ``An extension of the Euler-Maclaurin summation formula to functions with a branch singularity,'' J. Math, and Phys., v. 40, 1961, pp. 271-276. MR 25 #4290. MR 0140876 (25:4290)
  • [6] I. Navot, ``A further extension of the Euler-Maclaurin summation formula,'' J. Math, and Phys., v. 41, 1962, pp. 155-163.
  • [7] I. Navot, ``The Euler-Maclaurin functional for functions with a quasi-step discontinuity,'' Math. Comp. v. 17, 1963, pp. 337-345. MR 27 #5363. MR 0155429 (27:5363)
  • [8] P. C. Waterman, J. M. Yos & R. J. Abodeely, ``Numerical integration of non-analytic functions,'' J. Math, and Phys., v. 43, 1964, p. 45-50. MR 0215529 (35:6369)

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DOI: https://doi.org/10.1090/S0025-5718-1967-0225488-X
Article copyright: © Copyright 1967 American Mathematical Society

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