• Explicit Ramanujan-type approximations to pi of high order

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/097/01-03/0053-0059

    • Keywords

       

      Ramanujan-type approximations; recursive approximation to pi

    • Abstract

       

      We combine previously developed work with a variety of Ramanujan’s higher order modular equations to make explicit, in very simple form, algebraic approximations to π which converge with orders including 7, 11, 15 and 23.

    • Author Affiliations

       

      J M Borwein1 P B Borwein1

      1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax - NS B3H 3J5, Canada
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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