{
  "id": "1402.4629",
  "version": "v2",
  "published": "2014-02-19T11:53:17.000Z",
  "updated": "2014-11-10T17:52:32.000Z",
  "title": "On summation of the Taylor series of the function 1/(1-z) by the theta summation method",
  "authors": [
    "V. Katsnelson"
  ],
  "comment": "19 pages, 3 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "The family of the Taylor series f_{\\epsilon}(z)= \\sum\\limits_{0\\leq{}n<\\infty}e^{-\\epsilon n^2}z^n is considered, where the parameter \\epsilon, which enumerates the family, runs over ]0,\\infty[. The limiting behavior of this family is studied as \\epsilon\\to+0.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-19T11:53:17.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-10T17:52:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30B40"
    ],
    "keywords": [
      "theta summation method",
      "taylor series",
      "enumerates",
      "limiting behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4629K"
    }
  }
}