An integrable chain and bi-orthogonal polynomials
type: Item
instance of: scholarly article
title: An integrable chain and bi-orthogonal polynomials
zbMATH Open document ID: 0957.37055
DOI: 10.1023/A:1007563402749
author: Luc Vinet
author: Alexei Zhedanov
published in: Letters in Mathematical Physics
publication date: 2001-04-01T00:00:00Z
review text: The authors investigate self-similar solutions to the equations of motion of the integrable chain connected to the isospectral evolution of the polynomials of type \(R-I\) introduced by Ismail and Masson before. The polynomials of these equations are expressed in terms of the Gauss hypergeometric function and are shown to be stable against Darboux transformations of the generalized chain.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33C50
zbMATH DE Number: 1269754
zbMATH Keywords: bi-orthogonal
zbMATH Keywords: polynomials
zbMATH Keywords: self-similar solutions
zbMATH Keywords: integrable chain
zbMATH Keywords: Gauss hypergeometric function
zbMATH Keywords: Darboux transformations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1269754