{
  "id": "1911.01076",
  "version": "v1",
  "published": "2019-11-04T08:52:30.000Z",
  "updated": "2019-11-04T08:52:30.000Z",
  "title": "Interpolating the Derivatives of the Gamma Function",
  "authors": [
    "Vassilis G. Papanicolaou"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider a function $G(\\lambda, z)$, entire in $\\lambda$, which interpolates the derivatives of the Gamma function in the sense that $G(m, z) = \\Gamma^{(m)}(z)$ for any integer $m \\geq 0$ and we calculate the asymptotics of $G(\\lambda, z)$ as $\\lambda \\to +\\infty$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-04T08:52:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "41A60",
      "33B20"
    ],
    "keywords": [
      "gamma function",
      "derivatives"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}