The Rogers-Ramanujan continued fraction and a quintic iteration for $1/\pi$
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- by Heng Huat Chan, Shaun Cooper and Wen-Chin Liaw PDF
- Proc. Amer. Math. Soc. 135 (2007), 3417-3424 Request permission
Abstract:
Properties of the Rogers-Ramanujan continued fraction are used to obtain a formula for calculating $1/\pi$ with quintic convergence.References
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Additional Information
- Heng Huat Chan
- Affiliation: Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543
- MR Author ID: 365568
- 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
- MR Author ID: 316980
- 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
- Received by editor(s): December 9, 2005
- Published electronically: 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 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3417-3424
- MSC (2000): Primary 11Y60; Secondary 11F20, 11F27, 33E05
- DOI: https://doi.org/10.1090/S0002-9939-07-09031-4
- MathSciNet review: 2336553