{
  "id": "1406.7814",
  "version": "v1",
  "published": "2014-06-30T16:55:01.000Z",
  "updated": "2014-06-30T16:55:01.000Z",
  "title": "On an infinite series for $(1+1/x)^x$",
  "authors": [
    "Cristinel Mortici",
    "Yue Hu"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "The aim of this paper is to construct a new expansion of $(1+1/x)^x$ related to Carleman's inequality. Our results extend some results of Yang [Approximations for constant e and their applications J. Math. Anal. Appl. 262 (2001) 651-659].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-30T16:55:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite series",
      "results extend",
      "carlemans inequality",
      "approximations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.7814M"
    }
  }
}