Multivariate Meixner polynomials related to holomorphic discrete series representations of $\mathrm{SU}(1,d)$

Wolter Groenevelt, Joop Vermeulen

We show that Griffiths' multivariate Meixner polynomials occur as matrix coefficients of holomorphic discrete series representations of the group $\mathrm{SU}(1,d)$. Using this int…