{
  "id": "1605.05181",
  "version": "v1",
  "published": "2016-05-17T14:26:33.000Z",
  "updated": "2016-05-17T14:26:33.000Z",
  "title": "A new characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind",
  "authors": [
    "Mohammed Mesk",
    "Mohammed Brahim Zahaf"
  ],
  "categories": [
    "math.CA",
    "math.CO"
  ],
  "abstract": "We show that the only polynomial sets with a generating function of the form F (xt -- R(t)) and satisfying a three-term recursion relation are the monomial set and the rescaled ultraspherical, Hermite, and Chebyshev polynomials of the first kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T14:26:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "chebyshev polynomials",
      "first kind",
      "characterization",
      "ultraspherical",
      "three-term recursion relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}