Rational approximations for the Fresnel integrals
HTML articles powered by AMS MathViewer
- by Mark A. Heald PDF
- Math. Comp. 44 (1985), 459-461 Request permission
Corrigendum: Math. Comp. 46 (1986), 771.
Corrigendum: Math. Comp. 46 (1986), 771.
Abstract:
A class of simple rational polynomial approximations for the Fresnel integrals is given with maximum errors from $1.7 \times {10^{ - 3}}$ down to $4 \times {10^{ - 8}}$. The domain $[0,\infty ]$ is not subdivided. The format is particularly convenient for programmable hand calculators and microcomputer subroutines.References
- M. Abramowitz & I. A. Stegun, Editors, Handbook of Mathematical Functions, Dover, New York, 1965. See §§7.3.32-33 and Tables 7.7-8.
- J. Boersma, Computation of Fresnel integrals, Math. Comp. 14 (1960), 380. MR 121973, DOI 10.1090/S0025-5718-1960-0121973-3
- W. J. Cody, Chebyshev approximations for the Fresnel integrals, Math. Comp. 22 (1968), 450-453; suppl., ibid. 22 (1968), no. 102, loose microfiche suppl., A1-B4. MR 0238469, DOI 10.1090/S0025-5718-68-99871-2 C. Hastings, Jr., "Approximations for calculating Fresnel integrals," Math. Comp. [MTAC], v. 10, 1956, p. 173.
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Math. Comp. 44 (1985), 459-461
- MSC: Primary 65D30
- DOI: https://doi.org/10.1090/S0025-5718-1985-0777277-6
- MathSciNet review: 777277