{
  "id": "1104.1501",
  "version": "v1",
  "published": "2011-04-08T07:24:03.000Z",
  "updated": "2011-04-08T07:24:03.000Z",
  "title": "Some Results for the Apostol-Genocchi Polynomials of Higher Order",
  "authors": [
    "Hassan Jolany",
    "Hesam Sharifi"
  ],
  "comment": "18 pages",
  "journal": "Bulletin of Malaysian Mathematical Sciences Society, 2013, vol. 36, no. 2",
  "categories": [
    "math.NT"
  ],
  "abstract": "The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some earlier results of Carlitz and Howard in terms of Genocchi numbers can be deduced. We introduce the 2-variable Apostol-Genocchi polynomials and then we consider the multiplication theorem for 2-variable Genocchi polynomials. Also we introduce generalized Apostol-Genocchi polynomials with a; b; c parameters and we obtain several identities on generalized Apostol-Genocchi polynomials with a; b; c parameters",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-08T07:24:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "05A10",
      "05A15",
      "F.2.2",
      "I.2.7"
    ],
    "keywords": [
      "higher order",
      "generalized apostol-genocchi polynomials",
      "explicit recursive formulas",
      "multiplication formulas",
      "parameters"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1501J"
    }
  }
}