{
  "id": "1607.03651",
  "version": "v1",
  "published": "2016-07-13T09:16:54.000Z",
  "updated": "2016-07-13T09:16:54.000Z",
  "title": "$r-$Bell polynomials in combinatorial Hopf algebras",
  "authors": [
    "Ali Chouria",
    "Jean-Gabriel Luque"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CO",
    "cs.IT",
    "math.IT"
  ],
  "abstract": "We introduce partial $r$-Bell polynomials in three combinatorial Hopf algebras. We prove a factorization formula for the generating functions which is a consequence of the Zassenhauss formula.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-07-13T09:16:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "05E05",
      "16T05"
    ],
    "keywords": [
      "combinatorial hopf algebras",
      "bell polynomials",
      "zassenhauss formula",
      "factorization formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}