22 citations · 176 across the 29 of their papers we have counts for
31 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…
Multivariate Meixner polynomials related to holomorphic discrete series representations of
Wolter Groenevelt, Joop Vermeulen
We show that Griffiths' multivariate Meixner polynomials occur as matrix coefficients of holomorphic discrete series representations of the group . Using this int…
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…