Chebyshev polynomial expansions of complete elliptic integrals

Author:
W. J. Cody

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

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References | Similar Articles | Additional Information

**[1]**M. Abramowitz & I. A. Stegun, (Eds.),*Handbook of Mathematical Functions*, National Bureau of Standards, Applied Mathematics Series, Vol. 55, Washington, D. C., 1964. MR**0167642 (29:4914)****[2]**C. Hastings, Jr.,*Approximations for Digital Computers*, Princeton Univ. Press, Princeton, N. J., 1955. MR**16**, 963. MR**0068915 (16:963e)****[3]**W. Cody, Jr., "Chebyshev approximations for the complete elliptic integrals and ,"*Math. Comp.*, v. 19, 1965, pp. 105-112. MR**0171370 (30:1601)****[4]**C. W. Clenshaw,*Chebyshev Series for Mathematical Functions*, National Physical Laboratory Mathematical Tables, Vol. 5, Department of Scientific and Industrial Research, Her Majesty's Stationery Office, London, 1962. MR**26**#362. MR**0142793 (26:362)****[5]**A. Erdélyi et al.,*Higher Transcendental Functions*, Vol. II, McGraw-Hill, New York, 1953. MR**15**, 419.**[6]**J. R. Airey, "Toroidal functions and the complete elliptic integrals,"*Philos. Mag.*, v. 19, 1935, pp. 177-188.**[7]**H. C. Thacher, Jr., "Conversion of a power series to a series of Chebyshev polynomials,"*Comm. ACM*, v. 7, 1964, pp. 181-182.

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DOI:
https://doi.org/10.1090/S0025-5718-1965-0178563-0

Article copyright:
© Copyright 1965
American Mathematical Society