{
  "id": "2311.08102",
  "version": "v1",
  "published": "2023-11-14T12:00:41.000Z",
  "updated": "2023-11-14T12:00:41.000Z",
  "title": "Series representations for the characteristic function of the multidimensional Markov random flight",
  "authors": [
    "Alexander D. Kolesnik"
  ],
  "comment": "18 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "Two series representations of the characteristic function of the multidimensional symmetric Markov random flight with respect to Bessel functions and with respect to time variable, are given. Asymptotic formula for the second mixed moment function of the three-dimensional random flight is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-14T12:00:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K99",
      "62G30",
      "60K35",
      "60J60",
      "60H30"
    ],
    "keywords": [
      "multidimensional markov random flight",
      "series representations",
      "characteristic function",
      "multidimensional symmetric markov random flight",
      "three-dimensional random flight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}