The para-Racah polynomials
Classical Analysis and ODEs
2015-11-18 v1
Abstract
New bispectral polynomials orthogonal on a quadratic bi-lattice are obtained from a truncation of Wilson polynomials. Recurrence relation and difference equation are provided. The recurrence coefficients can be encoded in a perturbed persymmetric Jacobi matrix. The orthogonality relation and an explicit expression in terms of hypergeometric functions are also given. Special cases and connections with the para-Krawtchouk polynomials and the dual-Hahn polynomials are also discussed.
Cite
@article{arxiv.1511.05215,
title = {The para-Racah polynomials},
author = {Jean-Michel Lemay and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1511.05215},
year = {2015}
}
Comments
11 pages