{
  "id": "2203.02868",
  "version": "v1",
  "published": "2022-03-06T03:02:25.000Z",
  "updated": "2022-03-06T03:02:25.000Z",
  "title": "De Moivre and Bell polynomials",
  "authors": [
    "Cormac O'Sullivan"
  ],
  "comment": "20 pages, comments are welcome",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We survey a family of polynomials that are very useful in all kinds of power series manipulations, and appearing more frequently in the literature. Applications to formal power series, generating functions and asymptotic expansions are described, and we discuss the related work of De Moivre, Arbogast and Bell.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-06T03:02:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A16",
      "13F25"
    ],
    "keywords": [
      "bell polynomials",
      "power series manipulations",
      "formal power series",
      "asymptotic expansions",
      "applications"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}