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 …

We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-
negative integers with hypergeometric weights and show that they satisfy a system of non …

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 …

Full article: Laguerre-Freud equations for Generalized Hahn polynomials of type I Skip to Main
Content Taylor and Francis Online homepage Taylor and Francis Online homepage Access …

We investigate semi-classical generalizations of the Charlier and Meixner polynomials,
which are discrete orthogonal polynomials that satisfy three-term recurrence relations. It is …

In this contribution, discrete semiclassical orthogonal polynomials of class s≤ 2 are studied.
By considering all possible solutions of the Pearson equation, we obtain the canonical …

Matrix factorizations and orthogonal polynomials Page 1 Random Matrices: Theory and
Applications Vol. 9, No. 1 (2020) 2040003 (33 pages) c© World Scientific Publishing Company …