{
  "id": "1806.00524",
  "version": "v1",
  "published": "2018-06-01T19:48:50.000Z",
  "updated": "2018-06-01T19:48:50.000Z",
  "title": "Inequalities for integrals involving modified Bessel functions",
  "authors": [
    "Robert E. Gaunt"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases these inequalities are tight in certain limits. As a consequence, we deduce a tight double inequality, involving the modified Bessel function of the first kind, for a generalized hypergeometric function. We also present some open problems that arise from this research.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-01T19:48:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C10",
      "26D15"
    ],
    "keywords": [
      "modified bessel function",
      "tight double inequality",
      "second kind",
      "simple inequalities",
      "first kind"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}