The Rahman polynomials and the Lie algebra \(\mathfrak{sl}_{3}(\mathbb{C})\)
type: Item
instance of: scholarly article
zbMATH Open document ID: 1353.33007
DOI: 10.1090/S0002-9947-2012-05495-X
author: Plamen Iliev
author: Paul Terwilliger
published in: Transactions of the American Mathematical Society
publication date: 2013-07-25T00:00:00Z
full work available at URL: https://arxiv.org/abs/1006.5062
Mathematics Subject Classification ID: 33C52
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 33C45
Mathematics Subject Classification ID: 33D45
zbMATH DE Number: 6191311
zbMATH Keywords: orthogonal polynomial
zbMATH Keywords: Askey scheme
zbMATH Keywords: Leonard pair
zbMATH Keywords: tridiagonal pair
Wikidata QID: Q115285569
MaRDI profile type: Publication
arXiv ID: 1006.5062
cites work: Q5702549
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cites work: Q5493480
OpenAlex ID: W3125682113
title: The Rahman polynomials and the Lie algebra \(\mathfrak{sl}_{3}(\mathbb{C})\)
review text: In this paper, the authors interpret the Rahman polynomials in terms of the Lie algebra \(\mathfrak{sl}_3(\mathbb C).\) By viewing the Rahman polynomials in this way, they derived some of their properties, such as orthogonality relation, two seven-term recurrence relations along with the corresponding relations satisfied by their duals.
description: scientific article; zbMATH DE number 6191311