{
  "id": "1203.0357",
  "version": "v1",
  "published": "2012-03-02T03:18:45.000Z",
  "updated": "2012-03-02T03:18:45.000Z",
  "title": "An Algebraic Model for the Multiple Meixner Polynomials of the First Kind",
  "authors": [
    "Hiroshi Miki",
    "Satoshi Tsujimoto",
    "Luc Vinet",
    "Alexei Zhedanov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-02T03:18:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multiple meixner polynomials",
      "first kind",
      "algebraic model",
      "annihilation operators",
      "orthogonal polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/45/32/325205",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Aug",
      "volume": 45,
      "number": 32,
      "pages": 325205
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45F5205M"
    }
  }
}