Multivariate Askey-Wilson functions and overlap coefficients
Quantum Algebra
2025-04-15 v1 Classical Analysis and ODEs
Abstract
We study certain overlap coefficients appearing in representation theory of the quantum algebra . The overlap coefficients can be identified as products of Askey-Wilson functions, leading to an algebraic interpretation of the multivariate Askey-Wilson functions introduced by Geronimo and Iliev. We use the underlying coalgebra structure to derive -difference equations satisfied by the multivariate Askey-Wilson functions.
Cite
@article{arxiv.2504.09735,
title = {Multivariate Askey-Wilson functions and overlap coefficients},
author = {Wolter Groenevelt},
journal= {arXiv preprint arXiv:2504.09735},
year = {2025}
}
Comments
21 pages