Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights

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.

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