{
  "id": "1110.4699",
  "version": "v2",
  "published": "2011-10-21T05:02:57.000Z",
  "updated": "2012-02-25T09:20:05.000Z",
  "title": "Turán type inequalities for Tricomi confluent hypergeometric functions",
  "authors": [
    "Árpád Baricz",
    "Mourad E. H. Ismail"
  ],
  "comment": "20 pages",
  "journal": "Constructive Approximation 37(2) (2013) 195-221",
  "categories": [
    "math.CA",
    "math.PR"
  ],
  "abstract": "Some sharp two-sided Tur\\'an type inequalities for parabolic cylinder functions and Tricomi confluent hypergeometric functions are deduced. The proofs are based on integral representations for quotients of parabolic cylinder functions and Tricomi confluent hypergeometric functions, which arise in the study of the infinite divisibility of the Fisher-Snedecor F distribution. Moroever, some complete monotonicity results are given concerning Tur\\'an determinants of Tricomi confluent hypergeometric functions. These complement and improve some of the results of Ismail and Laforgia [23].",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-25T09:20:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C15",
      "26D07",
      "39C05"
    ],
    "keywords": [
      "tricomi confluent hypergeometric functions",
      "turán type inequalities",
      "parabolic cylinder functions",
      "sharp two-sided turan type inequalities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.4699B"
    }
  }
}