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Cubic and higher order algorithms for π

Borwein, Jonathan M. and Borwein, Peter (1984) Cubic and higher order algorithms for π. Canadian Math Bulletin, 27 . pp. 339-356.

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Abstract

We show that the theory of elliptic integral transformations may be employed to construct iterative approximations for π of order p (p any prime). Details are provided for two, three and seven. The cubic case proves amenable to surprisingly complete analysis.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 21 Feb 2015 10:35
Last Modified: 21 Feb 2015 10:35
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1622

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