Properties of some families of hypergeometric orthogonal polynomials in several variables
q-alg
2010-09-28 v1 Classical Analysis and ODEs
Quantum Algebra
Abstract
Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of multivariable Wilson, continuous Hahn and Jacobi type polynomials, respectively. For each class of polynomials we provide systems of difference (or differential) equations, recurrence relations, and expressions for the norms of the polynomials in terms of the norm of the constant polynomial.
Keywords
Cite
@article{arxiv.q-alg/9604004,
title = {Properties of some families of hypergeometric orthogonal polynomials in several variables},
author = {Jan F. van Diejen},
journal= {arXiv preprint arXiv:q-alg/9604004},
year = {2010}
}
Comments
42 pages, AMSLaTeX 1.1 with amssymb