{
  "id": "1701.02978",
  "version": "v1",
  "published": "2017-01-11T14:12:10.000Z",
  "updated": "2017-01-11T14:12:10.000Z",
  "title": "Inequalities for the modified Bessel function of the second kind and the kernel of the Krätzel integral transformation",
  "authors": [
    "Robert E. Gaunt"
  ],
  "comment": "4 pages, to appear in Mathematical Inequalities and Applications, 2017+",
  "categories": [
    "math.CA"
  ],
  "abstract": "We obtain new inequalities for the modified Bessel function of the second kind $K_\\nu$ in terms of the gamma function. These bounds follow as special cases of inequalities that we derive for the kernel of the Kr\\\"{a}tzel integral transformation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-11T14:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C10"
    ],
    "keywords": [
      "modified bessel function",
      "krätzel integral transformation",
      "second kind",
      "inequalities",
      "gamma function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}