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Explicit Ramanujan-type approximations to pi of high order

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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.

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computing Science, Dalhousie University, NS B3H 3J5, Halifax, 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. Explicit Ramanujan-type approximations to pi of high order. Proc. Indian Acad. Sci. (Math. Sci.) 97, 53–59 (1987). https://doi.org/10.1007/BF02837813

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  • DOI: https://doi.org/10.1007/BF02837813

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