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math.CA2025★ 49 cited
Some examples of orthogonal matrix polynomials satisfying odd order differential equations
Antonio J. Durán, Manuel D. De la Iglesia
It is well known that if a finite order linear differential operator with polynomial coefficients has as eigenfunctions a sequence of orthogonal polynomials with respect to a posit…
math.CA2019
The spectral matrices associated with the stochastic Darboux transformations of random walks on the integers
Manuel D. de la Iglesia, Claudia Juarez
We consider UL and LU stochastic factorizations of the transition probability matrix of a random walk on the integers, which is a doubly infinite tridiagonal stochastic Jacobi matr…
math.CA2011
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
Manuel D. de la Iglesia
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The…