{
  "id": "1511.06082",
  "version": "v1",
  "published": "2015-11-19T07:34:23.000Z",
  "updated": "2015-11-19T07:34:23.000Z",
  "title": "Bounds for the product of modified Bessel functions",
  "authors": [
    "Árpád Baricz",
    "Dragana Jankov Maširević",
    "Saminathan Ponnusamy",
    "Sanjeev Singh"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bessel functions of first and second kind are also obtained. These bounds improve and extend known bounds for the product of modified Bessel functions of first and second kind of order zero. A new Tur\\'an type inequality is also given for the product of modified Bessel functions, and some open problems are stated, which may be of interest for further research.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-19T07:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B62",
      "33C10"
    ],
    "keywords": [
      "modified bessel functions",
      "second kind",
      "turan type inequality",
      "order zero",
      "monotonicity properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151106082B"
    }
  }
}