BIT Numerical Mathematics

, Volume 23, Issue 4, pp 538–540 | Cite as

A very rapidly convergent product expansion for π

  • J. M. Borwein
  • P. B. Borwein
Scientific Notes

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References

  1. 1.
    J. M. Borwein and P. B. Borwein,The arithmetic-geometric mean and fast computation of elementary functions, preprint.Google Scholar
  2. 2.
    R. P. Brent,Fast multiple-precision evaluation of elementary functions, J. Assoc. Comput. Mach. 23 (1976), 242–251.Google Scholar
  3. 3.
    K. F. Gauss,Werke, Bd. 3, Göttingen (1866), 361–403.Google Scholar
  4. 4.
    L. V. King,On the Direct Numerical Calculation of Elliptic Functions and Integrals, Cambridge Univ. Press (1924).Google Scholar
  5. 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.Google Scholar
  6. 6.
    E. Salamin,Computation of π using arithmetic-geometric mean, Math. Comput. 135 (1976), 565–570.Google Scholar

Copyright information

© BIT Foundations 1983

Authors and Affiliations

  • J. M. Borwein
    • 1
  • P. B. Borwein
    • 1
  1. 1.Dalhousie UniversityHalifaxCanada

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