{
  "id": "1701.01052",
  "version": "v1",
  "published": "2017-01-03T11:42:17.000Z",
  "updated": "2017-01-03T11:42:17.000Z",
  "title": "Two Parameter Gamma Function and its Properties",
  "authors": [
    "Kuldeep Singh Gehlot"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper we introduce the Two Parameter Gamma Function, Beta Function and Pochhammer Symbol. We named them, as p - k Gamma Function, p - k Beta Function and p - k Pochhammer Symbol and denoted as $_{p}\\Gamma_{k}(x), $ $_{p}B_{k}(x,y) $ and $_{p}(x)_{n,k} $ respectively. We prove the several identities for $_{p}\\Gamma_{k}(x), $ $_{p}B_{k}(x,y) $ and $_{p}(x)_{n,k} $ those satisfied by the classical Gamma, Beta and Pochhammer Symbol. Also we provide the integral representation for the $_{p}\\Gamma_{k}(x) $ and $_{p}B_{k}(x,y) $.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-03T11:42:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15"
    ],
    "keywords": [
      "parameter gamma function",
      "pochhammer symbol",
      "beta function",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}