{
  "id": "1906.00344",
  "version": "v1",
  "published": "2019-05-25T18:52:34.000Z",
  "updated": "2019-05-25T18:52:34.000Z",
  "title": "Asymptotic Expansions for the multiple gamma functions of Barnes-Milnor type",
  "authors": [
    "Hanamichi Kawamura"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The classical Stirling's formula gives the asymptotic behavior of the gamma function. Katayama and Ohtsuki generalized this formula for Barnes' multiple gamma functions. In this paper, we further generalize these formulas for the multiple gamma functions of BM (Barnes-Milnor) type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-25T18:52:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15"
    ],
    "keywords": [
      "multiple gamma functions",
      "asymptotic expansions",
      "barnes-milnor type",
      "classical stirlings formula",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}