Evaluation of $I_{n}(b)=2\pi ^{-1}\int _{0}{}^ \infty (\textrm {sin}x/x)^{n}\textrm {cos}(bx) dx$ and of similar integrals
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- Math. Comp. 20 (1966), 330-332 Request permission
Corrigendum: Math. Comp. 23 (1969), 219.
Corrigendum: Math. Comp. 23 (1969), 219.
Corrigendum: Math. Comp. 21 (1967), 130.
References
- R. G. Medhurst & J. H. Roberts, "Evaluation of the integral ${I_n}\left ( b \right ) = 2/\pi \int _0^\infty {{{((\sin x)/x)}^n}\cos (bx)dx}$," Math. Comp., v. 19, 1965, pp. 113β117.
- R. W. Hamming, Numerical methods for scientists and engineers, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., Inc., New York-San Francisco, Calif.-Toronto-London, 1962. MR 0137279 K. Harumi, S. Katsura & J. W. Wrench, Jr., "Values of $2/\pi \int _0^\infty {{{((\sin t)/t)}^n}dt}$," Math. Comp., v. 14, 1960, p. 379. MR 22 #12737.
- H. Leon Harter, New tables of the incomplete gamma-function ratio and of percentage points of the chi-square and Beta distributions, U.S. Government Printing Office, Washington, D.C., 1964. Aerospace Research Laboratories, Office of Aerospace Research, United States Air Force; For sale by the Superintendent of Documents. MR 0171331, DOI 10.21236/AD0607403
Additional Information
- © Copyright 1966 American Mathematical Society
- Journal: Math. Comp. 20 (1966), 330-332
- MSC: Primary 65.05; Secondary 65.55
- DOI: https://doi.org/10.1090/S0025-5718-1966-0192634-5
- MathSciNet review: 0192634