{
  "id": "math/0205089",
  "version": "v1",
  "published": "2002-05-08T21:38:32.000Z",
  "updated": "2002-05-08T21:38:32.000Z",
  "title": "Generating functions for moments of the quasi-nilpotent DT-operator",
  "authors": [
    "Ken Dykema",
    "Catherine Yan"
  ],
  "comment": "16 pages",
  "categories": [
    "math.CO",
    "math.OA"
  ],
  "abstract": "We prove a recursion formula for generating functions of certain renormalizations of *-moments of the DT(\\delta_0,1)-operator T, involving an operation \\odot on formal power series and a transformation E that converts \\odot to usual multiplication. This recursion formula is used to prove that all of these generating functions are rational functions, and to find a few of them explicitly.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-05-08T21:38:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generating functions",
      "quasi-nilpotent dt-operator",
      "recursion formula",
      "formal power series",
      "usual multiplication"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......5089D"
    }
  }
}