{
  "id": "1205.2854",
  "version": "v1",
  "published": "2012-05-13T12:47:42.000Z",
  "updated": "2012-05-13T12:47:42.000Z",
  "title": "A new family of q-analogue of Genocchi numbers and polynomials of higher order",
  "authors": [
    "Serkan Araci",
    "Mehmet Acikgoz",
    "Jong Jin Seo"
  ],
  "comment": "10 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this work, we consider the generating function of Kim's q-Euler polynomials and introduce new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give surprising identities for studying in Analytic Numbers Theory and especially in Mathematical Physics. Moreover, by applying q-Mellin transformation to generating function of q-Genocchi polynomials of higher order and so we define q-Hurwitz-Zeta type function which interpolates of this polynomials at negative integers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-13T12:47:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11S80",
      "11B68"
    ],
    "keywords": [
      "higher order",
      "genocchi numbers",
      "q-analogue",
      "define q-hurwitz-zeta type function",
      "q-genocchi polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1205.2854A"
    }
  }
}