{
  "id": "math/0405596",
  "version": "v2",
  "published": "2004-05-31T15:49:26.000Z",
  "updated": "2005-04-19T22:20:41.000Z",
  "title": "On hypergeometric functions and Pochhammer $k$-symbol",
  "authors": [
    "Rafael Diaz",
    "Eddy Pariguan"
  ],
  "comment": "12 pages, 3 figures",
  "journal": "Divulgaciones Matematicas. Vol.15. No.2 (2007), pp. 179-192",
  "categories": [
    "math.CA",
    "hep-th",
    "quant-ph"
  ],
  "abstract": "We introduce the $k$-generalized gamma function $\\Gamma_k$, beta function $B_k$, and Pochhammer $k$-symbol $(x)_{n,k}$. We prove several identities generalizing those satisfied by the classical gamma function, beta function and Pochhammer symbol. We provided integral representation for the $\\Gamma_k$ and $B_k$ functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-04-19T22:20:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypergeometric functions",
      "beta function",
      "integral representation",
      "generalized gamma function"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 652822,
      "adsabs": "2004math......5596D"
    }
  }
}