{
  "id": "0901.1104",
  "version": "v1",
  "published": "2009-01-08T18:18:45.000Z",
  "updated": "2009-01-08T18:18:45.000Z",
  "title": "Mathieu's series: inequalities, asymptotics and positive definiteness",
  "authors": [
    "Viktor P. Zastavnyi"
  ],
  "comment": "26 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "Inequalities, asymptotics and, for some specific cases, asymptotical expansions were obtained for generalized Mathieu's series. A connection between inequalities for Mathieu's series and positive definite and completely monotonic functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-08T18:18:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26D15",
      "33E20",
      "65B15"
    ],
    "keywords": [
      "positive definiteness",
      "inequalities",
      "asymptotics",
      "specific cases",
      "generalized mathieus series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.1104Z"
    }
  }
}