{
  "id": "math/0108121",
  "version": "v3",
  "published": "2001-08-17T20:50:11.000Z",
  "updated": "2001-11-22T20:29:40.000Z",
  "title": "Applications of the classical umbral calculus",
  "authors": [
    "Ira M. Gessel"
  ],
  "comment": "34 pages",
  "journal": "Algebra Universalis 49 (2003), 397-434",
  "categories": [
    "math.CO",
    "math.NT"
  ],
  "abstract": "We describe applications of the classical umbral calculus to bilinear generating functions for polynomial sequences, identities for Bernoulli and related numbers, and Kummer congruences.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2001-11-22T20:29:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A40",
      "05A19",
      "05A10",
      "11B65",
      "11B68",
      "11B73"
    ],
    "keywords": [
      "classical umbral calculus",
      "applications",
      "bilinear generating functions",
      "polynomial sequences",
      "kummer congruences"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 34,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math......8121G"
    }
  }
}