{
  "id": "1904.02330",
  "version": "v1",
  "published": "2019-04-04T03:20:43.000Z",
  "updated": "2019-04-04T03:20:43.000Z",
  "title": "Continued fraction expansions of the generating functions of Bernoulli and related numbers",
  "authors": [
    "Takao Komatsu"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "We give continued fraction expansions of the generating functions of Bernoulli numbers, Cauchy numbers, Euler numbers, harmonic numbers, and their generalized or related numbers. In particular, we focus on explicit forms of the convergents of these continued fraction expansions. Linear fractional transformations of such continued fractions are also discussed. We show more continued fraction expansion for different numbers and types, in particular, on Cauchy numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-04-04T03:20:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "continued fraction expansion",
      "generating functions",
      "related numbers",
      "cauchy numbers",
      "linear fractional transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}