{
  "id": "1702.04007",
  "version": "v1",
  "published": "2017-02-13T22:54:14.000Z",
  "updated": "2017-02-13T22:54:14.000Z",
  "title": "Eulerian-Dowling Polynomials as Moments, Using Riordan Arrays",
  "authors": [
    "Paul Barry"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Using the theory of exponential Riordan arrays, we show that the Eulerian-Dowling polynomials are moments for a paramaterized family of orthogonal polynomials. In addition, we show that the related Dowling and the Tanny-Dowling polynomials are also moments for appropriate families of orthogonal polynomials. We provide continued fraction generating functions and Hankel transforms for these polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-13T22:54:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "15B36",
      "33C45",
      "11B83",
      "11C20",
      "05A15"
    ],
    "keywords": [
      "eulerian-dowling polynomials",
      "orthogonal polynomials",
      "exponential riordan arrays",
      "appropriate families",
      "continued fraction generating functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}