12 citations · 12 across the 3 of their papers we have counts for
7 papers
Spectral analysis of bilateral birth-death processes: some new explicit examples
Manuel D. de la Iglesia
We consider the spectral analysis of several examples of bilateral birth-death processes and compute explicitly the spectral matrix and the corresponding orthogonal polynomials. We…
Quasi-birth-and-death processes and multivariate orthogonal polynomials
Lidia Fernández, Manuel D. de la Iglesia
The aim of this paper is to study some models of quasi-birth-and-death (QBD) processes arising from the theory of bivariate orthogonal polynomials. First we will see how to perform…
Bispectral Laguerre type polynomials
Antonio J. Durán, Manuel D. de la Iglesia
We study the bispectrality of Laguerre type polynomials, which are defined by taking suitable linear combinations of a fixed number of consecutive Laguerre polynomials. These Lague…
On difference operators for symmetric Krall-Hahn polynomials
Antonio J. Durán, Manuel D. de la Iglesia
The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by multiplying the classical dis…
Stochastic Darboux transformations for quasi-birth-and-death processes and urn models
F. Alberto Grunbaum, Manuel D. de la Iglesia
We consider stochastic UL and LU block factorizations of the one-step transition probability matrix for a discrete-time quasi-birth-and-death process, namely a stochastic block tri…
Stochastic LU factorizations, Darboux transformations and urn models
F. Alberto Grünbaum, Manuel D. de la Iglesia
We consider UL (and LU) decompositions of the one-step transition probability matrix of a random walk with state space the nonnegative integers, with the condition that both upper…