Elliptic Racah polynomials
Classical Analysis and ODEs
2022-07-13 v1 Mathematical Physics
math.MP
Abstract
Upon solving a finite discrete reduction of the difference Heun equation, we arrive at an elliptic generalization of the Racah polynomials. We exhibit the three-term recurrence relation and the orthogonality relations for these elliptic Racah polynomials. The well-known -Racah polynomials of Askey and Wilson are recovered as a trigonometric limit.
Cite
@article{arxiv.2106.07394,
title = {Elliptic Racah polynomials},
author = {Jan Felipe van Diejen and Tamás Görbe},
journal= {arXiv preprint arXiv:2106.07394},
year = {2022}
}
Comments
18 pages