5 papers
Connection formulas for Askey--Wilson polynomials and related expansions
Howard S. Cohl, Wolter Groenevelt
We derive and study expansions of and over the Askey--Wilson polynomials. We study these expansions and examine some limits to the continuous dual -Hahn, Al-Salam--Chihara, cont…
Bispectral rational functions and Leonard trios
Nicolas Crampé, Wolter Groenevelt, Quentin Labriet +3
It is well-known that Leonard pairs have a close connection with bispectral orthogonal polynomials of the Askey scheme. In this paper, we introduce the notion of a Leonard trio $(V…
Quantum algebra approach to univariate and multivariate rational functions of -Racah type
Wolter Groenevelt, Carel Wagenaar
In this paper, we study rational functions of -Racah type and a multivariate extension, using representation theory of . Eigenfunctions of twisted…
Multivariate Askey-Wilson functions and overlap coefficients
Wolter Groenevelt
We study certain overlap coefficients appearing in representation theory of the quantum algebra $\U_q(\mathfrak{sl}_2(\C))$. The overlap coefficients can be identified as products…
A Generalized Dynamic Asymmetric Exclusion Process: Orthogonal Dualities and Degenerations
Wolter Groenevelt, Carel Wagenaar
In this paper, a generalized version of dynamic ASEP is introduced, and it is shown that the process has a Markov duality property with the same process on the reversed lattice. Th…