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Mathematics of Computation

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

 

 

Chebyshev approximations for the Fresnel integrals


Author: W. J. Cody
Journal: Math. Comp. 22 (1968), 450-453
DOI: https://doi.org/10.1090/S0025-5718-68-99871-2
MathSciNet review: 0238469
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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}}$.


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DOI: https://doi.org/10.1090/S0025-5718-68-99871-2
Article copyright: © Copyright 1968 American Mathematical Society