Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials
type: Item
instance of: scholarly article
title: Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials
zbMATH Open document ID: 0784.33006
DOI: 10.1007/BF00745151
published in: Letters in Mathematical Physics
publication date: 1993-10-18T00:00:00Z
review text: In this article is given a new example of \((\nabla,D)\)-hypergeometric systems (i.e. the pairs of differential operators \((\nabla_ i,D_ i)\) satisfying \([\nabla_ i,D_ i]=\nabla_ i)\) of which the notion was given by the authors in their former works. The new example is introduced as deformations of \((d/dt,td/dt)\) and has classical orthogonal polynomials as solutions. Difference and \(q\)-derivative analogue are also considered.
Mathematics Subject Classification ID: 33C80
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 33C70
zbMATH DE Number: 431347
zbMATH Keywords: \(q\)-analogue
zbMATH Keywords: orthogonal polynomials
author: M. I. Graev
author: Vladimir Retakh
reviewed by: Akira Kaneko
MaRDI profile type: Publication
cites work: Q4040884
cites work: Braid group action on the \(q\)-Weyl algebra
full work available at URL: https://doi.org/10.1007/bf00745151
OpenAlex ID: W2045322602
description: scientific article; zbMATH DE number 431347