{
  "id": "1804.08919",
  "version": "v1",
  "published": "2018-04-24T09:25:30.000Z",
  "updated": "2018-04-24T09:25:30.000Z",
  "title": "How to generalize (and not to generalize) the Chu--Vandermonde identity",
  "authors": [
    "Alan D. Sokal"
  ],
  "comment": "LaTeX2e, 12 pages. To appear in the American Mathematical Monthly",
  "categories": [
    "math.CO",
    "math.AC"
  ],
  "abstract": "We consider two different interpretations of the Chu--Vandermonde identity: as an identity for polynomials, and as an identity for infinite matrices. Each interpretation leads to a class of possible generalizations, and in both cases we obtain a complete characterization of the solutions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-04-24T09:25:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A10",
      "05A15",
      "05A40",
      "13B25",
      "15A24",
      "15B36",
      "33C47"
    ],
    "keywords": [
      "chu-vandermonde identity",
      "generalize",
      "complete characterization",
      "interpretation"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}