Hyperspherical trigonometry, related elliptic functions and integrable systems

The basic formulae of hyperspherical trigonometry in multi-dimensional Euclidean space are developed using multi-dimensional vector products, and their conversion to identities for elliptic functions is shown. The basic addition formulae for functions on the 3-sphere embedded in four-dimensional spa...

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Bibliographic Details
Main Author: Jennings, Paul Richard
Other Authors: Nijoff, Frank
Published: University of Leeds 2013
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.617146

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