This paper investigates stochastic finite matrices and the corresponding finite Markov chains
constructed using recurrence matrices for general families of orthogonal polynomials and …

Multiple orthogonal polynomials with respect to two weights on the step-line are considered.
A connection between different dual spectral matrices, one banded (recursion matrix) and …

The recently found hypergeometric multiple orthogonal polynomials on the step-line by Lima
and Loureiro are shown to be random walk polynomials. It is proven that the corresponding …

Given a non-negative Jacobi matrix describing higher order recurrence relations for multiple
orthogonal polynomials of type~ II and corresponding linear forms of type I, a general …

In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line
are studied. The orthogonality is understood in a broad sense, and is given in terms of a …

The Cholesky factorization of the moment matrix is applied to discrete orthogonal
polynomials on the homogeneous lattice. In particular, semiclassical discrete orthogonal …

In this paper, the authors investigate the case of discrete multiple orthogonal polynomials
with two weights on the step line, which satisfy Pearson equations. The discrete multiple …

Contiguous hypergeometric relations for semiclassical discrete orthogonal polynomials are
described as Christoffel and Geronimus transformations. Using the Christoffel–Geronimus …

The Cholesky factorization of the moment matrix is considered for discrete orthogonal
polynomials of hypergeometric type. We derive the Laguerre–Freud equations when the first …

The Cholesky factorization of the moment matrix is considered for the generalized Charlier
and generalized Meixner discrete orthogonal polynomials. For the generalized Charlier, we …