Griffiths polynomials of Racah type
Abstract
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the latter. A duality relation and the orthogonality of these polynomials are provided. The domain of validity for the indices and variables of these polynomials is also determined. Particular limits on the parameters entering the polynomials allow to define several Griffiths polynomials of other types. One special limit connects them to the original Griffiths polynomials (of Krawtchouk type). Finally, a connection with the $9j$ symbols is made.
 Publication:

arXiv eprints
 Pub Date:
 March 2024
 DOI:
 10.48550/arXiv.2403.12148
 arXiv:
 arXiv:2403.12148
 Bibcode:
 2024arXiv240312148C
 Keywords:

 Mathematical Physics;
 33C80;
 33C45;
 16G60
 EPrint:
 20 pages