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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Chebyshev approximations for the Fresnel integrals
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by W. J. Cody PDF
Math. Comp. 22 (1968), 450-453 Request permission

Abstract:

Rational Chebyshev approimations have been computed for the Fresnel integrals $C(x)$ and $S(x)$ for arguments in the intervals $[0.,1.2]$ and $[1.2,1.6]$, and for the related functions $f(x)$ and $g(x)$ for the intervals $[1.6,1.9]$, $[1.9,2.4]$ and $[2.4,\infty ]$. Maximal relative errors range down to $2 \times {10^{ - 19}}$.
References
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  • H. E. Syrett & M. W. Wilson, Computation of Fresnel Integrals to 28 Figures: Approximations to 8 and 20 Figures, Univ. of Western Ontario, Canada. (Unpublished.) See Math. Comp., v. 20, 1966, p. 181, RMT 25.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 450-453
  • DOI: https://doi.org/10.1090/S0025-5718-68-99871-2
  • MathSciNet review: 0238469