16 citations · 18 across the 4 of their papers we have counts for
4 papers
An urn model associated with the Jacobi polynomials
F. Alberto Grünbaum
We consider an urn model leading to a random walk that can be solved explicitly in terms of the well known Jacobi polynomials.
Matrix valued Szego polynomials and quantum random walks
M. J. Cantero, F. A. Grünbaum, L. Moral +1
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of…
Matrix differential equations and scalar polynomials satisfying higher order recursions
Antonio J. Duran, F. Alberto Grünbaum
We show that any scalar differential operator with a family of polyno- mials as its common eigenfunctions leads canonically to a matrix differen- tial operator with the same proper…
The Rahman Polynomials Are Bispectral
F. Alberto Grünbaum
In a very recent paper, M. Rahman introduced a remarkable family of polynomials in two variables as the eigenfunctions of the transition matrix for a nontrivial Markov chain due to…