{
  "id": "2307.00098",
  "version": "v1",
  "published": "2023-06-30T19:28:47.000Z",
  "updated": "2023-06-30T19:28:47.000Z",
  "title": "Moment sequences, transformations, and Spidernet graphs",
  "authors": [
    "Paul Barry"
  ],
  "comment": "13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We use the link between Jacobi continued fractions and the generating functions of certain moment sequences to study some simple transformations on them. In particular, we define and study a transformation that is appropriate for the study of spidernet graphs and their moments, and the free Meixner law.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-06-30T19:28:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "44A60",
      "05C10",
      "05C30",
      "05C63",
      "05A15",
      "11B83",
      "44A60",
      "05C10",
      "05C30",
      "05C63",
      "05A15",
      "11B83"
    ],
    "keywords": [
      "moment sequences",
      "spidernet graphs",
      "free meixner law",
      "jacobi continued fractions",
      "simple transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}