{
  "id": "2104.01880",
  "version": "v1",
  "published": "2021-04-05T12:40:54.000Z",
  "updated": "2021-04-05T12:40:54.000Z",
  "title": "Monotonicity properties related to the ratio of two gamma functions",
  "authors": [
    "Nian Hong Zhou",
    "Da-Wei Niu"
  ],
  "comment": "10 pages, accepted for publication in Mediterranean Journal of Mathematics",
  "categories": [
    "math.CA",
    "math.NT"
  ],
  "abstract": "In this paper we investigate the monotonicity properties related to the ratio of gamma functions, from which some related asymptotics and inequalities are established. Some special cases also confirm the conjectures of C.-P. Chen [Monotonicity properties, inequalities, and asymptotic expansions associated with the gamma function. Appl. Math. Comput. 283 (2016), 385--396.].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-05T12:40:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15",
      "11B68",
      "26A48",
      "26D15",
      "41A60"
    ],
    "keywords": [
      "gamma function",
      "monotonicity properties",
      "inequalities",
      "asymptotic expansions",
      "special cases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}