{
  "id": "1507.00018",
  "version": "v1",
  "published": "2015-06-30T20:06:55.000Z",
  "updated": "2015-06-30T20:06:55.000Z",
  "title": "Generating functions for the osp(1|2) Clebsch-Gordan coefficients",
  "authors": [
    "Geoffroy Bergeron",
    "Luc Vinet"
  ],
  "comment": "21 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Generating functions for Clebsch-Gordan coefficients of osp(1|2) are derived. These coefficients are expressed as q goes to - 1 limits of the dual q-Hahn polynomials. The generating functions are obtained using two different approaches respectively based on the coherent-state representation and the position representation of osp(1j2).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-30T20:06:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C35",
      "33C45",
      "81R05"
    ],
    "keywords": [
      "generating functions",
      "clebsch-gordan coefficients",
      "dual q-hahn polynomials",
      "coherent-state representation",
      "position representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}