{
  "id": "1708.06604",
  "version": "v1",
  "published": "2017-08-08T10:17:29.000Z",
  "updated": "2017-08-08T10:17:29.000Z",
  "title": "On Some Properties and Inequalities for the Nielsen's $β$-Function",
  "authors": [
    "Kwara Nantomah"
  ],
  "comment": "12 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this study, we obtain some convexity, monotonicity and additivity properties as well as some inequalities involving the Nielsen's $\\beta$-function which was introduced in 1906.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-08T10:17:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33Bxx",
      "33B99"
    ],
    "keywords": [
      "inequalities",
      "additivity properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}