An Algebraic Model for the Multiple Meixner Polynomials of the First Kind
arXiv:1203.0357 · doi:10.1088/1751-8113/45/32/325205
Abstract
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.