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math.CA2024
Bidiagonal matrix factorisations related to multiple orthogonal polynomials
Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié-Moreno +2
We provide necessary and sufficient conditions for the Hessenberg recurrence matrix associated with a system of multiple orthogonal polynomials to admit a factorisation as a produc…
math.CA2024
General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials
Manuel Mañas, Miguel Rojas
General Geronimus transformations, defined by regular matrix polynomials that are neither required to be monic nor restricted by the rank of their leading coefficients, are applied…
math.CA2024
Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights
Itsaso Fernández-Irisarri, Manuel Mañas
In this paper, we extend our investigation into semiclassical multiple discrete orthogonal polynomials by considering an arbitrary number of weights. We derive multiple versions of…