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Note on the Addition Formula for the Jacobian Elliptic Functions and their Connexion with the Theory of Correlation, in Statistics

Published online by Cambridge University Press:  03 November 2016

J.O. Irwin
J.O. Irwin*
Affiliation:
Medical Research Council, London School of Hygiene and Tropical Medicine, Keppel Street, W.C. 1
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Extract

It is remarkable that Cayley, who gave (1895) a purely algebraic treatment of the addition formulae for the Jacobian elliptic functions, never pointed out their essential identity with the ordinary formulae of spherical trigonometry

Type
Other
Information
The Mathematical Gazette , Volume 49 , Issue 370 , December 1965 , pp. 425 - 427
Copyright
Copyright © Mathematical Association 1965

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References

Cayley, A. (1895): An elementary treatise on elliptic functions. Cambridge University Press.Google Scholar
Kendall, M. G. (1941): The relationship between correlation formulae and elliptic functions. J. R. Stat. Soc, 104, 281–3.Google Scholar