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Rational interpolation to solutions of Riccati difference equations on elliptic lattices

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Magnus, Alphonse [UCL]

It is shown how to define difference equations on particular lattices {x(n)}, n is an element of Z, where the x(n)s are values of an elliptic function at a sequence of arguments in arithmetic progression (elliptic lattice). Solutions to special difference equations (elliptic Riccati equations) have remarkable simple (!) interpolatory continued fraction expansions. (C) 2009 Elsevier B.V. All rights reserved.

Document type Communication à un colloque (Conference Paper) – Présentation orale avec comité de sélection
Access type Accès restreint
Publication date 2009
Language Anglais
Conference "9th Conference on Orthogonal Polynomials, Special Functions and Applications", Marseille(France) (Jul 02-06, 2007)
Journal information "Journal of Computational and Applied Mathematics" - Vol. 233, no. 3, p. 793-801 (2009)
Peer reviewed yes
issn 0377-0427
Publisher Elsevier Science Bv (Amsterdam)
Affiliation UCL - Autre
Keywords Elliptic Difference Equations ; Riccati Difference Equations ; Orthogonal Functions ; Rational Approximation
Links
Bibliographic reference Magnus, Alphonse. Rational interpolation to solutions of Riccati difference equations on elliptic lattices.9th Conference on Orthogonal Polynomials, Special Functions and Applications (Marseille(France), Jul 02-06, 2007). In: Journal of Computational and Applied Mathematics, Vol. 233, no. 3, p. 793-801 (2009)
Permanent URL http://hdl.handle.net/2078.1/58849