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The Euler-Maclaurin functional for functions with a quasi-step discontinuity


Author: Israel Navot
Journal: Math. Comp. 17 (1963), 337-345
MSC: Primary 65.55
MathSciNet review: 0155429
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  • [1] Israel Navot, An extension of the Euler-Maclaurin summation formula to functions with a branch singularity, J. Math. and Phys. 40 (1961), 271–276. MR 0140876
  • [2] I. Navot, ``A further extension of the Euler Maclaurin summation formula,'' J. Math. Phys., v. 41, 1962, p. 155-163.
  • [3] BAASMTC, Mathematical Tables, Vol. 1, Third Edition, Cambridge University Press, for the Royal Society, 1951.
  • [4] Eugene Jahnke and Fritz Emde, Tables of Functions with Formulae and Curves, Dover Publications, New York, N. Y., 1945. 4th ed. MR 0015900
  • [5] D. R. Hartree, Numerical analysis, Oxford, at the Clarendon Press, 1952. MR 0052871
  • [6] Yudell L. Luke, Simple formulas for the evaluation of some higher transcendental functions, J. Math. and Phys. 34 (1956), 298–307. MR 0078047
  • [7] Philip J. Davis, On the numerical integration of periodic analytic functions, On numerical approximation. Proceedings of a Symposium, Madison, April 21-23, 1958, Edited by R. E. Langer. Publication no. 1 of the Mathematics Research Center, U.S. Army, the University of Wisconsin, The University of Wisconsin Press, Madison, 1959, pp. 45–59. MR 0100354

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DOI: https://doi.org/10.1090/S0025-5718-1963-0155429-1
Article copyright: © Copyright 1963 American Mathematical Society