{
  "id": "1708.06611",
  "version": "v1",
  "published": "2017-08-16T23:28:45.000Z",
  "updated": "2017-08-16T23:28:45.000Z",
  "title": "Functional inequalities for Fox-Wright functions",
  "authors": [
    "Khaled Mehrez",
    "Sergei M. Sitnik"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "In this paper, our aim is to show some mean value inequalities for the Fox-Wright functions, such as Tur\\'an--type inequalities, Lazarevi\\'c and Wilker--type inequalities. As applications we derive some new type inequalities for hypergeometric functions and the four--parametric Mittag--Leffler functions. Furthermore, we prove monotonicity of ratios for sections of series of Fox-Wright functions, the results is also closely connected with Tur\\'an--type inequalities. Moreover, some other type inequalities are also presented. At the end of the paper, some problems stated, which may be of interest for further research.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-08-16T23:28:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fox-wright functions",
      "functional inequalities",
      "turan-type inequalities",
      "mean value inequalities",
      "four-parametric mittag-leffler functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}