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Some New Addition Formulae for Weierstrass Elliptic Functions


Reference:

England, M., Eilbeck, J. C. and Onishi, Y., 2012. Some New Addition Formulae for Weierstrass Elliptic Functions. Submitted paper

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Abstract

In a previous paper (Eilbeck, Matsutani and \^Onishi, Phil. Trans. R. Soc. A 2011 369, 1245-1263), we introduced new two- and three-variable addition formulae for the Weierstrass elliptic functions in the special case of an equianharmonic curve. In the present note we remove the restriction to the equianharmonic curve, and further extend these ideas to the general elliptic curve. We also discuss possible generalisations to n-variable formulae.

Details

Item Type Articles
CreatorsEngland, M., Eilbeck, J. C. and Onishi, Y.
Related URLs
URLURL Type
http://arxiv.org/abs/1207.6274Free Full-text
Uncontrolled Keywordselliptic functions, addition formulae
DepartmentsFaculty of Science > Computer Science
RefereedYes
StatusUnpublished
ID Code30743

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