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Original Articles

The wallis formula for PI, including two new expressions involving irrationals

Pages 197-203 | Received 10 May 1991, Published online: 19 Mar 2007
 

Abstract

Two new expressions related to Wallis's formula for π are obtained using methods of the calculus. When truncated, one of these expressions yields upper while the second results in lower bounds for π. Additionally these expressions involve ratios of irrationals which makes them more quickly convergent than Wallis's formula.

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