{
  "id": "1706.02503",
  "version": "v1",
  "published": "2017-06-08T10:15:15.000Z",
  "updated": "2017-06-08T10:15:15.000Z",
  "title": "Reciprocal of the First hitting time of the boundary of dihedral wedges by a radial Dunkl process",
  "authors": [
    "Nizar Demni"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we establish an integral representation for the density of the reciprocal of the first hitting time of the boundary of even dihedral wedges by a radial Dunkl process having equal multiplicity values. Doing so provides another proof and extends to all even dihedral groups the main result proved in \\cite{Demni1}. We also express the weighted Laplace transform of this density through the fourth Lauricella Lauricella function and establish a similar integral representation for odd dihedral wedges.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-08T10:15:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "radial dunkl process",
      "first hitting time",
      "reciprocal",
      "fourth lauricella lauricella function",
      "odd dihedral wedges"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}