Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
Published 2012-03-02Version 1
An interpretation of the multiple Meixner polynomials of the first kind is provided through an infinite Lie algebra realized in terms of the creation and annihilation operators of a set of independent oscillators. The model is used to derive properties of these orthogonal polynomials.
Creation and Annihilation Operators for Orthogonal Polynomials of Continuous and Discrete Variables
On the families of orthogonal polynomials associated to the Razavy potential
Dimers and orthogonal polynomials: connections with random matrices
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