A novel approcah to the theory of Pade approximants

Athorne, C. (2005) A novel approcah to the theory of Pade approximants. Journal of Nonlinear Mathematical Physics, 12(Supple), pp. 15-27. (doi:10.2991/jnmp.2005.12.s2.2)

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Publisher's URL: http://dx.doi.org/10.2991/jnmp.2005.12.s2.2

Abstract

By associating polynomials and power series expansions with sln(C) modules we dscribe the theory of Padé approximants in terms of tensor products of representations and interpret their recurrence relations algebraically. The treatment links with the theory of Hirota derivatives and discrete integrable models and is generalizable to larger numbers of variables. This paper summarizes and extends the work of [2].

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Athorne, Dr Chris
Authors: Athorne, C.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Journal of Nonlinear Mathematical Physics
ISSN:1402-9251
ISSN (Online):1776-0852

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