{
  "id": "1212.3989",
  "version": "v1",
  "published": "2012-12-17T13:46:38.000Z",
  "updated": "2012-12-17T13:46:38.000Z",
  "title": "Generalizations of Poly-Bernoulli numbers and polynomials",
  "authors": [
    "Hassan Jolany",
    "M. R. Darafsheh",
    "R. Eizadi Alikelaye"
  ],
  "comment": "10 pages",
  "journal": "International Journal of Mathematical Combinatorics (2010), Vol 2, 07-14",
  "categories": [
    "math.NT"
  ],
  "abstract": "The Concepts of poly-Bernoulli numbers $B_n^{(k)}$, poly-Bernoulli polynomials $B_n^{k}{(t)}$ and the generalized poly-bernoulli numbers $B_{n}^{(k)}(a,b)$ are generalized to $B_{n}^{(k)}(t,a,b,c)$ which is called the generalized poly-Bernoulli polynomials depending on real parameters \\textit{a,b,c}. Some properties of these polynomials and some relationships between $B_n^{k}$, $B_n^{(k)}(t)$, $B_{n}^{(k)}(a,b)$ and $B_{n}^{(k)}(t,a,b,c)$ are established",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-17T13:46:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalizations",
      "real parameters",
      "generalized poly-bernoulli numbers",
      "generalized poly-bernoulli polynomials depending"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3989J"
    }
  }
}