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

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
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, 2813.Google Scholar