{
  "id": "1311.4148",
  "version": "v4",
  "published": "2013-11-17T11:35:00.000Z",
  "updated": "2015-01-20T07:24:43.000Z",
  "title": "Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis",
  "authors": [
    "Armen Bagdasaryan",
    "Serkan Araci",
    "Mehmet Acikgoz",
    "Yuan He"
  ],
  "comment": "8 pages, submitted",
  "categories": [
    "math.NT"
  ],
  "abstract": "In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis. Finally, by utilizing our method, we also derive formulas for the convolutions of Bernoulli and Euler polynomials, expressed via Apostol-Bernoulli polynomials of higher order.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-21T14:51:06.000Z",
      "abstract": "In the present paper, we aim to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order. These identities are derived using a suitable polynomial basis, for which we employ a Bernoulli basis. Finally, by utilizing our method, we also derive formulas for the convolutions of Bernoulli and Euler polynomials, expressed via Apostol-Bernoulli polynomials of higher order.",
      "journal": null,
      "doi": null,
      "authors": [
        "Armen Bagdasaryan",
        "Serkan Araci"
      ]
    },
    {
      "version": "v4",
      "updated": "2015-01-20T07:24:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "apostol-bernoulli polynomials",
      "higher order",
      "bernoulli basis",
      "identities",
      "euler polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.4148B"
    }
  }
}