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Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights (2407.00777v1)
Published 30 Jun 2024 in math.CA, math-ph, math.MP, and nlin.SI
Abstract: 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 the Toda equations and the Laguerre-Freud equations for the multiple generalized Charlier and multiple generalized Meixner II families.