{
  "id": "1605.09204",
  "version": "v1",
  "published": "2016-05-16T15:57:07.000Z",
  "updated": "2016-05-16T15:57:07.000Z",
  "title": "Extension of Summation Formulas involving Stirling series",
  "authors": [
    "Raphael Schumacher"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "This paper presents a family of rapidly convergent summation formulas for various finite sums of the form $\\sum_{k=0}^{\\lfloor x\\rfloor}f(k)$, where $x$ is a positive real number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-16T15:57:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65B15",
      "11B68"
    ],
    "keywords": [
      "stirling series",
      "rapidly convergent summation formulas",
      "finite sums",
      "positive real number"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}