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

Related documents:

Related URLs:

• http://arxiv.org/abs/1207.6274

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.

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