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Explicit Ramanujan-type approximations to pi of high order
Authors:J. M. Borwein  P. B. Borwein
Affiliation:(1) Department of Mathematics, Statistics and Computing Science, Dalhousie University, NS B3H 3J5 Halifax, Canada
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.
Keywords:Ramanujan-type approximations  recursive approximation to pi
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