{
  "id": "2205.12530",
  "version": "v1",
  "published": "2022-05-25T06:49:33.000Z",
  "updated": "2022-05-25T06:49:33.000Z",
  "title": "Monotonicity, convexity, and inequalities for functions involving gamma function",
  "authors": [
    "Peipei Du",
    "Gendi Wang"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, we study some properties such as the monotonicity, logarithmically complete monotonicity, logarithmic convexity, and geometric convexity, of the combinations of gamma function and power function. The results we obtain generalize some related known results for parameters with specific values.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-25T06:49:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E50",
      "33E20"
    ],
    "keywords": [
      "gamma function",
      "inequalities",
      "specific values",
      "power function",
      "geometric convexity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}