Branching Rules for Symmetric Hypergeometric Polynomials

Abstract

Starting from a recently found branching formula for the six-parameter family of symmetric Macdonald-Koornwinder polynomials, we arrive by degeneration at corresponding branching rules for symmetric hypergeometric orthogonal polynomials of Wilson, continuous Hahn, Jacobi, Laguerre, and Hermite type.

22 pages, LaTeX

References in corpus (7)

• Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
• Limits of BC-type orthogonal polynomials as the number of variables goes to infinity
• Integrable boundary interactions for Ruijsenaars' difference Toda chain
• Okounkov's BC-type interpolation Macdonald polynomials and their q=1 limit
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• Spherical transform and Jacobi polynomials on root systems of type BC
• Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions

Cited by in corpus (3)

• An Elliptic Hypergeometric Function Approach to Branching Rules
• Positive temperature dynamics on Gelfand-Tsetlin patterns restricted by wall
• Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials