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A very rapidly convergent product expansion for π

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References

  1. J. M. Borwein and P. B. Borwein,The arithmetic-geometric mean and fast computation of elementary functions, preprint.

  2. R. P. Brent,Fast multiple-precision evaluation of elementary functions, J. Assoc. Comput. Mach. 23 (1976), 242–251.

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  3. K. F. Gauss,Werke, Bd. 3, Göttingen (1866), 361–403.

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  4. L. V. King,On the Direct Numerical Calculation of Elliptic Functions and Integrals, Cambridge Univ. Press (1924).

  5. D. J. Newman,Rational Approximation Versus Fast Computer Methods, inLectures on Approximation and Value Distribution, Presses de l'Université de Montréal (1982), 149–174.

  6. E. Salamin,Computation of π using arithmetic-geometric mean, Math. Comput. 135 (1976), 565–570.

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Authors and Affiliations

  1. Dalhousie University, B3H 4H8, Halifax, N.S., Canada

    J. M. Borwein & P. B. Borwein

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  1. J. M. Borwein
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  2. P. B. Borwein
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Borwein, J.M., Borwein, P.B. A very rapidly convergent product expansion for π. BIT 23, 538–540 (1983). https://doi.org/10.1007/BF01933626

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  • DOI: https://doi.org/10.1007/BF01933626

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