{
  "id": "1202.5457",
  "version": "v2",
  "published": "2012-02-14T18:42:45.000Z",
  "updated": "2019-04-25T15:26:59.000Z",
  "title": "On the Equivalence of Fourier Expansion and Poisson Summation Formula for the Series Approximation of the Exponential Function",
  "authors": [
    "S. M. Abrarov",
    "B. M. Quine",
    "R. K. Jagpal"
  ],
  "comment": "3 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this short note we show the equivalence of Fourier expansion and Poisson summation approaches for the series approximation of the exponential function $\\exp ({-{t^2}/4})$. The application of the Poisson summation formula is shown to reduce to that of the Fourier expansion method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-14T18:42:45.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2019-04-25T15:26:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "poisson summation formula",
      "series approximation",
      "exponential function",
      "equivalence",
      "poisson summation approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.5457A"
    }
  }
}