Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system
type: Item
instance of: scholarly article
title: Rodrigues formulas for the non-symmetric multivariable polynomials associated with the \(\text{BC}_N\)-type root system
zbMATH Open document ID: 0951.33011
DOI: 10.1016/S0550-3213(99)00761-0
author: Akinori Nishino
author: Hideaki Ujino
author: Yasushi Komori
author: Miki Wadati
publication date: 2000-07-12T00:00:00Z
Mathematics Subject Classification ID: 33D52
Mathematics Subject Classification ID: 17B99
Mathematics Subject Classification ID: 81R99
Mathematics Subject Classification ID: 81V70
Mathematics Subject Classification ID: 33D99
zbMATH DE Number: 1476365
zbMATH Keywords: Macdonald-Koornwinder polynomials
MaRDI profile type: Publication
cites work: A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
cites work: Lectures on affine Hecke algebras and Macdonald’s conjectures
cites work: Elliptic quantum many-body problem and double affine Knizhnik- Zamolodchikov equation
cites work: Affine \(R\)-matrix and the generalized elliptic Ruijsenaars models
cites work: Notes on the elliptic Ruijsenaars operators
cites work: Q4328336
cites work: Q3803292
cites work: Exact operator solution of the Calogero-Sutherland model
cites work: Algebraic Construction of the Eigenstates for the Second Conserved Operator of the Quantum Calogero Model
cites work: Rodrigues Formula for Hi-Jack Symmetric Polynomials Associated with the Quantum Calogero Model
cites work: Orthogonality of the Hi-Jack Polynomials Associated with the Calogero Model
cites work: Creation operators for the Macdonald and Jack polynomials
cites work: Intertwining operators of double affine Hecke algebras
cites work: A recursion and a combinatorial formula for Jack polynomials
cites work: The Calogero-Sutherland model and polynomials with prescribed symmetry
cites work: Q4365978
cites work: Rodrigues Formula for the Nonsymmetric Multivariable Hermite Polynomial
cites work: Rodrigues Formula for the Nonsymmetric Multivariable Laguerre Polynomial
cites work: Rodrigues Formula for the Nonsymmetric Macdonald Polynomial
cites work: An algebraic approach to the non-symmetric Macdonald polynomial
cites work: Limit Transitions for BC Type Multivariable Orthogonal Polynomials
cites work: Commuting difference operators with polynomial eigenfunctions
cites work: Self-dual Koornwinder-Macdonald polynomials
cites work: Q4400452
cites work: Exact Solution of Long-Range Interacting Spin Chains with Boundaries
cites work: Dunkl Operator Formalism for Quantum Many-Body Problems Associated with Classical Root Systems
cites work: Nonsymmetric Koornwinder polynomials and duality
cites work: Affine root systems and Dedekind's \(\eta\)-function
cites work: Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
cites work: Q4040877
cites work: Affine Hecke Algebras and Their Graded Version
cites work: Q5845916
published in: Nuclear Physics B
description: scientific article; zbMATH DE number 1476365