29 citations · 104 across the 60 of their papers we have counts for
5 papers · 2 filters
Reflected Brownian motion in Weyl chambers
Nizar Demni
We supply two different descriptions of the pushing process driving the reflected Brownian motion in Weyl chambers, when the latter domains are simplexes. The first one shows that…
Product formula for Jacobi polynomials, spherical harmonics and generalized Bessel function of dihedral type
Nizar Demni
We work out the expression of the generalized Bessel function of type B in the two-rank case. This is done using Dijskma and Koornwinder's product formula for Jacobi polynomials an…
On generalized Cauchy-Stieltjes transforms of some Beta distributions
Nizar Demni
We express generalized Cauchy-Stieltjes transforms of some particular Beta distributions (of ultraspherical type generating functions for orthogonal polynomials) as a powered Cauch…
Ultraspherical type generating functions for orthogonal polynomials
Nizar Demni
We characterize, up to a conjecture, probability distributions of all order finite moments having ultraspherical type generating functions for orthogonal polynomials.
Beta Jacobi processes
Nizar Demni
We define and study a multidimensional process that generalizes the eigenvalues of matrix Jacobi processes on the one hand and whose stationary distribution is given by the beta Ja…