{
  "id": "0812.3773",
  "version": "v1",
  "published": "2008-12-19T12:47:59.000Z",
  "updated": "2008-12-19T12:47:59.000Z",
  "title": "A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems",
  "authors": [
    "Nobukazu Shimeno"
  ],
  "comment": "12pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-19T12:47:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E30",
      "33C67"
    ],
    "keywords": [
      "heckman-opdam hypergeometric function",
      "whittaker functions",
      "root systems",
      "limit transition",
      "split semisimple lie group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.3773S"
    }
  }
}