{
  "id": "1811.06352",
  "version": "v1",
  "published": "2018-10-20T07:32:09.000Z",
  "updated": "2018-10-20T07:32:09.000Z",
  "title": "New integral representations for the Fox-Wright functions and its applications II",
  "authors": [
    "Khaled Mehrez"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "Our aim in this paper, is to establish several new integral representations for the Fox--Wright functions ${}_p\\Psi_q[^{(\\alpha_p,A_p)}_{(\\beta_q,B_q)}|z]$ when their terms contain the Fox H-function such that $$\\mu=\\sum_{j=1}^q\\beta_j-\\sum_{k=1}^p\\alpha_k+\\frac{p-q}{2}=-m,\\;m\\in\\mathbb{N}_0.$$ In particular, closed-form integral expressions are derived here for the four parameters Wright function under a special restriction on parameters. Exponential bounding inequalities for a class of the Fox-Wright function ( likes Luke's type inequalities) are derived. Moreover, monotonicity property of ratios involving the Fox-Wright functions are established.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-20T07:32:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33E20",
      "26D07",
      "26A42",
      "44A10"
    ],
    "keywords": [
      "fox-wright function",
      "integral representations",
      "applications",
      "likes lukes type inequalities",
      "closed-form integral expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}