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Proceedings of the American Mathematical Society
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The Rogers-Ramanujan continued fraction and a quintic iteration for $ 1/\pi$

Author(s): Heng Huat Chan; Shaun Cooper; Wen-Chin Liaw
Journal: Proc. Amer. Math. Soc. 135 (2007), 3417-3424.
MSC (2000): Primary 11Y60; Secondary 11F20, 11F27, 33E05
Posted: July 3, 2007
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Abstract | References | Similar articles | Additional information

Abstract: Properties of the Rogers-Ramanujan continued fraction are used to obtain a formula for calculating $ 1/\pi$ with quintic convergence.


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Additional Information:

Heng Huat Chan
Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
Email: matchh@nus.edu.sg

Shaun Cooper
Affiliation: Institute of Information and Mathematical Sciences, Massey University--Albany, Private Bag 102904, North Shore Mail Centre, Auckland, New Zealand
Email: s.cooper@massey.ac.nz

Wen-Chin Liaw
Affiliation: Department of Mathematics, National Chung Cheng University, Minhsiung, Chiayi 621, Taiwan, Republic of China
Email: wcliaw@math.ccu.edu.tw

DOI: 10.1090/S0002-9939-07-09031-4
PII: S 0002-9939(07)09031-4
Received by editor(s): December 9, 2005
Posted: July 3, 2007
Additional Notes: The third author is grateful for the support from the National Science Council of Taiwan, Republic of China, through Grant NSC95-2115-M-194-012.
Communicated by: Jonathan M. Borwein
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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