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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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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


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 $2 \times {10^{ - 19}}$.
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Additional Information
  • © Copyright 1968 American Mathematical Society
  • Journal: Math. Comp. 22 (1968), 450-453
  • DOI:
  • MathSciNet review: 0238469