Difference equations and Pieri formulas for \(G_2\) type Macdonald polynomials and integrability
type: Item
instance of: scholarly article
title: Difference equations and Pieri formulas for \(G_2\) type Macdonald polynomials and integrability
zbMATH Open document ID: 1179.33028
author: J. F. Van Diejen
author: Masahiko Ito
published in: Letters in Mathematical Physics
publication date: 2009-11-04T00:00:00Z
Mathematics Subject Classification ID: 33D52
Mathematics Subject Classification ID: 17B80
Mathematics Subject Classification ID: 70H06
zbMATH DE Number: 5624988
zbMATH Keywords: Ruijsenaars-Schneider type systems
zbMATH Keywords: explicit integrals
zbMATH Keywords: exceptional root systems
MaRDI profile type: Publication
full work available at URL: s11005-008-0275-2
OpenAlex ID: W1993507950
cites work: Q5580319
cites work: Macdonald polynomials and algebraic integrability
cites work: Macdonald's evaluation conjectures and difference Fourier transform
cites work: A combinatorial formula for Macdonald polynomials
cites work: A combinatorial formula for nonsymmetric Macdonald polynomials
cites work: Lectures on affine Hecke algebras and Macdonald’s conjectures
cites work: Inversion of the Pieri formula for Macdonald polynomials
cites work: Q4328336
cites work: Q4375213
cites work: Orthogonal polynomials associated with root systems
cites work: Q4419564
cites work: Q4856684
cites work: A new class of integrable systems and its relation to solitons
cites work: Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
cites work: Integrability of difference Calogero–Moser systems
cites work: Commuting difference operators with polynomial eigenfunctions
cites work: Properties of some families of hypergeometric orthogonal polynomials in several variables
cites work: Determinantal construction of orthogonal polynomials associated with root systems
DOI: 10.1007/S11005-008-0275-2
description: scientific article; zbMATH DE number 5624988