Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems

Abstract

Multivariable generalizations of the continuous Hahn and Wilson polynomials are introduced as eigenfunctions of rational Ruijsenaars type difference systems with an external field.

5 pages, REVTEX, to appear in J. Phys. A: Math. Gen

References in corpus (2)

• Explicit Solution to the N-Body Calogero Problem
• Commuting difference operators with polynomial eigenfunctions

Cited by in corpus (15)

• Properties of some families of hypergeometric orthogonal polynomials in several variables
• Discrete Quantum Mechanics
• Equilibrium Positions, Shape Invariance and Askey-Wilson Polynomials
• Orthogonal Symmetric Polynomials Associated with the Calogero Model
• Quasi Exactly Solvable Difference Equations
• Equilibria of `Discrete' Integrable Systems and Deformations of Classical Orthogonal Polynomials
• Quantum vs Classical Integrability in Ruijsenaars-Schneider Systems
• New Quasi Exactly Solvable Difference Equation
• Multi-Particle Quasi Exactly Solvable Difference Equations
• Discrete harmonic analysis on a Weyl alcove
• Structures in BC_N Ruijsenaars-Schneider models
• Branching Rules for Symmetric Hypergeometric Polynomials
• Deformed multi-variable Fokker-Planck equations
• Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence
• Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials