Chebyshev polynomial expansions of complete elliptic integrals
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- by W. J. Cody PDF
- Math. Comp. 19 (1965), 249-259 Request permission
References
- Milton Abramowitz and Irene A. Stegun, Handbook of mathematical functions with formulas, graphs, and mathematical tables, National Bureau of Standards Applied Mathematics Series, No. 55, U. S. Government Printing Office, Washington, D.C., 1964. For sale by the Superintendent of Documents. MR 0167642
- Cecil Hastings Jr., Approximations for digital computers, Princeton University Press, Princeton, N. J., 1955. Assisted by Jeanne T. Hayward and James P. Wong, Jr. MR 0068915
- W. J. Cody, Chebyshev approximations for the complete elliptic integrals $K$ and $E$, Math. Comp. 19 (1965), 105–112. MR 171370, DOI 10.1090/S0025-5718-1965-0171370-4
- C. W. Clenshaw, Chebyshev series for mathematical functions, National Physical Laboratory Mathematical Tables, Vol. 5, Her Majesty’s Stationery Office, London, 1962. Department of Scientific and Industrial Research. MR 0142793 A. Erdélyi et al., Higher Transcendental Functions, Vol. II, McGraw-Hill, New York, 1953. MR 15, 419. J. R. Airey, "Toroidal functions and the complete elliptic integrals," Philos. Mag., v. 19, 1935, pp. 177–188. H. C. Thacher, Jr., "Conversion of a power series to a series of Chebyshev polynomials," Comm. ACM, v. 7, 1964, pp. 181–182.
Additional Information
- © Copyright 1965 American Mathematical Society
- Journal: Math. Comp. 19 (1965), 249-259
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1965-0178563-0
- MathSciNet review: 0178563