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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Expansion of Dawson's function in a series of Chebyshev polynomials


Author: David G. Hummer
Journal: Math. Comp. 18 (1964), 317-319
MSC: Primary 65.25
MathSciNet review: 0165687
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  • [3] W. L. Miller & A. R. Gordon, ``Numerical evaluation of infinite series and integrals which arise in certain problems of linear heat flow, electrochemical diffusion, etc.,'' J. Chem. Phys., v. 35, 1935, p. 2785-2884.
  • [4] J. Barkley Rosser, Theory and Application of ∫_{0^{𝑧}}𝑒^{-𝑥²}𝑑𝑥 and ∫_{0^{𝑧}}𝑒^{-𝑝²𝑦²}𝑑𝑦∫^{𝑦}₀𝑒^{-𝑥²}𝑑𝑥. Part I. Methods of Computation, Mapleton House, Brooklyn, N. Y., 1948. MR 0027176 (10,267e)
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  • [6] H. M. Terrill & L. Sweeny, ``An extension of Dawson's table of the integral of $ {e^{{x^2}}}$,'' J. Franklin Inst., v. 237, 1944, p. 495-497; ``Table of the integral of $ {e^{{x^2}}}$,'' ibid., v. 238, 1944, p. 220-222.
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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1964-0165687-6
PII: S 0025-5718(1964)0165687-6
Article copyright: © Copyright 1964 American Mathematical Society