{
  "id": "math/0508039",
  "version": "v3",
  "published": "2005-08-01T14:58:39.000Z",
  "updated": "2007-04-12T15:16:30.000Z",
  "title": "Discrete orthogonal polynomials and difference equations of several variables",
  "authors": [
    "Plamen Iliev",
    "Yuan Xu"
  ],
  "comment": "minor typos corrected",
  "journal": "Adv. Math. 212 (2007), no. 1, 1-36",
  "doi": "10.1016/j.aim.2006.09.012",
  "categories": [
    "math.CA"
  ],
  "abstract": "The goal of this work is to characterize all second order difference operators of several variables that have discrete orthogonal polynomials as eigenfunctions. Under some mild assumptions, we give a complete solution of the problem.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-04-12T15:16:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42C05",
      "33C45"
    ],
    "keywords": [
      "discrete orthogonal polynomials",
      "difference equations",
      "second order difference operators",
      "mild assumptions",
      "complete solution"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......8039I"
    }
  }
}