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98.23 Recursive formulas related to the Arithmetic–Geometric Mean

Published online by Cambridge University Press:  25 August 2015

Thomas J. Osler  and
Tirupathi R Chandrupatla
Thomas J. Osler
Affiliation:
Department of Mathematics, Rowan University, Glassboro, New Jersey 08028 USA e-mail: Osler@rowan.edu
Tirupathi R Chandrupatla
Affiliation:
Mechanical Engineering Department, Rowan University, Glassboro, New Jersey 08028 USA e-mail: Chandrupatla@rowan.edu
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Information
The Mathematical Gazette , Volume 98 , Issue 543 , November 2014 , pp. 484 - 486
Copyright
Copyright © The Mathematical Association 2014

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References

1. Almkvist, G. and Berndt, B., Gauss, , Landen, , Ramanujan, , the Arithmetic–Geometric Mean, Ellipses, π, and the Ladies Diary, The American Mathematical Monthly, 95 (1988) pp. 585–608.Google Scholar
2. Borwein, J. and Borwein, B., Pi and the AGM, John Wiley 1987.Google Scholar
3. Lord, N., Recent calculations of π: the Gauss-Salamin algorithm, Math. Gaz., 76 (July 1992) pp. 231–242.Google Scholar