{
  "id": "1211.4881",
  "version": "v1",
  "published": "2012-11-20T21:15:54.000Z",
  "updated": "2012-11-20T21:15:54.000Z",
  "title": "Some convolution identities and an inverse relation involving partial Bell polynomials",
  "authors": [
    "Daniel Birmajer",
    "Juan B. Gil",
    "Michael D. Weiner"
  ],
  "comment": "13 pages. Provisionally accepted for publication in the Electronic Journal of Combinatorics",
  "journal": "Electron. J. Combin. 19 (2012), no. 4, Paper 34, 14 pp",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove an inverse relation and a family of convolution formulas involving partial Bell polynomials. Known and some presumably new combinatorial identities of convolution type are discussed. Our approach relies on an interesting multinomial formula for the binomial coefficients. The inverse relation is deduced from a parametrization of suitable identities that facilitate dealing with compositions of Bell polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-20T21:15:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A10"
    ],
    "keywords": [
      "partial bell polynomials",
      "inverse relation",
      "convolution identities",
      "convolution formulas",
      "combinatorial identities"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.4881B"
    }
  }
}