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The asymptotic expansion of the integrals psi and chi in terms of Tchebycheff polynomials


Author: G. T. Thompson
Journal: Math. Comp. 19 (1965), 661-663
MSC: Primary 65.25; Secondary 65.55
DOI: https://doi.org/10.1090/S0025-5718-1965-0192638-1
MathSciNet review: 0192638
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References [Enhancements On Off] (What's this?)

  • [1] G. Goertzel, "The Doppler effect in intermediate and fast reactions," Proceedings of the International Conference of Peaceful Uses of Atomic Energy, Vol. 5, 1956, p. 472.
  • [2] G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd ed., Cambridge Univ. Press, New York, and Macmillan, New York, 1958, 804 pp. MR 1349110 (96i:33010)
  • [3] D. G. Hummer, and Macmillan, New York, "Expansion of Dawson's function in a series of Chebyshev polynomials, Math, of Comp., v. 18, 1964, pp. 317-319.

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1965-0192638-1
Article copyright: © Copyright 1965 American Mathematical Society

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