{
  "id": "2404.11708",
  "version": "v1",
  "published": "2024-04-17T19:21:51.000Z",
  "updated": "2024-04-17T19:21:51.000Z",
  "title": "Moments of the free Jacobi process: a matrix approach",
  "authors": [
    "Nizar Demni",
    "Tarek Hamdi"
  ],
  "categories": [
    "math.PR",
    "math.CO",
    "math.OA"
  ],
  "abstract": "We compute the large size limit of the moment formula derived in \\cite{DHS} for the Hermitian Jacobi process at fixed time. In particular, we identify the terms contributing to the limit and show they satisfy a double recurrence relation. We also determine explicitly some of them and revisit a special case relying on Carlitz summation identity for terminating $1$-balanced ${}_4F_3$ functions taken at unity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-17T19:21:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46L54",
      "15B52",
      "60B20",
      "33C80"
    ],
    "keywords": [
      "free jacobi process",
      "matrix approach",
      "hermitian jacobi process",
      "carlitz summation identity",
      "functions taken"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}