{
  "id": "0801.0480",
  "version": "v1",
  "published": "2008-01-03T06:13:04.000Z",
  "updated": "2008-01-03T06:13:04.000Z",
  "title": "Analytic Continuation of q-Euler numbers and polynomials",
  "authors": [
    "T. Kim"
  ],
  "comment": "5 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper we study that the $q$-Euler numbers and polynomials are analytically continued to $E_q(s)$. A new formula for the Euler's $q$-Zeta function $\\zeta_{E,q}(s)$ in terms of nested series of $\\zeta_{E,q}(n)$ is derived. Finally we introduce the new concept of the dynamics of analytically continued $q$-Euler numbers and polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-03T06:13:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B68",
      "11S80"
    ],
    "keywords": [
      "q-euler numbers",
      "analytic continuation",
      "polynomials",
      "zeta function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0480K"
    }
  }
}