{
  "id": "2205.03161",
  "version": "v1",
  "published": "2022-05-06T12:01:39.000Z",
  "updated": "2022-05-06T12:01:39.000Z",
  "title": "A note on a generalisation of a definite integral involving the Bessel function of the first kind",
  "authors": [
    "S A Dar",
    "M Kamarujjama",
    "R B Paris"
  ],
  "comment": "9 pages, 0 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "We consider a generalisation of a definite integral involving the Bessel function of the first kind. It is shown that this integral can be expressed in terms of the Fox-Wright function ${}_p\\Psi_q(z)$ of one variable. Some consequences of this representation are explored by suitable choice of parameters. In addition, two closed-form evaluations of infinite series of the Fox-Wright function are deduced.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-06T12:01:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C20",
      "33B10",
      "42A36",
      "33C60",
      "44A20"
    ],
    "keywords": [
      "bessel function",
      "definite integral",
      "first kind",
      "generalisation",
      "fox-wright function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}