{
  "id": "1905.08068",
  "version": "v1",
  "published": "2019-05-16T00:28:19.000Z",
  "updated": "2019-05-16T00:28:19.000Z",
  "title": "The $q$-multiple gamma functions of Barnes-Milnor type",
  "authors": [
    "Hanamichi Kawamura"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "The multiple gamma functions of BM (Barnes-Milnor) type and the $q$-multiple gamma functions have been studied independently. In this paper, we introduce a new generalization of the multiple gamma functions called the $q$-BM multiple gamma function including those functions and prove some properties the BM multiple gamma functions satisfy for them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-16T00:28:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "33D05"
    ],
    "keywords": [
      "barnes-milnor type",
      "bm multiple gamma functions satisfy",
      "generalization",
      "properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}