An Algebraic Model for the Multiple Meixner Polynomials of the First Kind

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.

References in corpus (5)

• The nearest neighbor recurrence coefficients for multiple orthogonal polynomials
• Interlacing properties of zeros of multiple orthogonal polynomials
• From $s{l}_q(2)$ to a Parabosonic Hopf Algebra
• Non-Hermitian oscillator Hamiltonians and multiple Charlier polynomials
• Representations of the Schrödinger group and matrix orthogonal polynomials

Cited by in corpus (6)

• What is $\dots$ a multiple orthogonal polynomial?
• Multidimensional Toda Lattices: Continuous and Discrete Time
• Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians
• Lie algebraic discussions for time-inhomogeneous linear birth-death processes with immigration
• Multiple q-Kravchuk polynomials
• Rahman polynomials