$q$-deformed Griffiths polynomials of Racah type
Mathematical Physics
2024-10-28 v2 math.MP
Abstract
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R. Griffiths fifty years ago. They also correspond to a -deformation of the Griffiths polynomials of Racah type introduced previously by the authors and collaborators. The latter are recovered from the former by a limit. We show that these new polynomials are bispectral and biorthogonal. We also exhibit some symmetry relations that are essential in the proof of the bispectrality property.
Cite
@article{arxiv.2407.17016,
title = {$q$-deformed Griffiths polynomials of Racah type},
author = {Nicolas Crampe and Luc Frappat and Julien Gaboriaud and Eric Ragoucy},
journal= {arXiv preprint arXiv:2407.17016},
year = {2024}
}
Comments
36 pages. Title modified in comparison to v1 and clarification on the polynomiality added