An algebraic model for the multiple Meixner polynomials of the first kind

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

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2012-08, Vol.45 (32), p.325205-1-325205-11
Main Authors: Miki, Hiroshi, Tsujimoto, Satoshi, Vinet, Luc, Zhedanov, Alexei
Format: Article
Language:English
Subjects:
Algebra
algebraic model
Exact sciences and technology
generating function
Lie groups
Mathematical models
multiple Meixner polynomials
Operators
Oscillators
Physics
Polynomials
step relations
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Description
Summary: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
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8113/45/32/325205