{
  "id": "1202.2643",
  "version": "v1",
  "published": "2012-02-13T07:06:14.000Z",
  "updated": "2012-02-13T07:06:14.000Z",
  "title": "On the $q$-Genocchi numbers and polynomials with weight zero and their applications",
  "authors": [
    "Serkan Araci",
    "Mehmet Acikgoz",
    "Feng Qi"
  ],
  "comment": "8 pages",
  "journal": "Nonlinear Functional Analysis and Applications 18 (2013) 193-203",
  "categories": [
    "math.NT",
    "math.CO"
  ],
  "abstract": "In this paper, the authors deal with the $q$-Genocchi numbers and polynomials with weight zero. They discover some interesting relations via the $p$-adic $q$-integral on $\\mathbb{Z}_{p}$ and familiar basis Bernstein polynomials. Finally, the authors show that the $p$-adic $\\log$ gamma functions are associated with the $q$-Genocchi numbers and polynomials with weight zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-13T07:06:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A10",
      "11B65",
      "11B68",
      "11B73"
    ],
    "keywords": [
      "weight zero",
      "genocchi numbers",
      "applications",
      "familiar basis bernstein polynomials",
      "gamma functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.2643A"
    }
  }
}