{
  "id": "1105.5978",
  "version": "v2",
  "published": "2011-05-30T13:00:55.000Z",
  "updated": "2012-09-11T11:56:29.000Z",
  "title": "On the logarithm of the derivative operator",
  "authors": [
    "D. Babusci",
    "G. Dattoli"
  ],
  "comment": "3 pages, no figures; v2: corrected some typos",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We study the properties of the logarithm of the derivative operator and show that its action on a constant is not zero, but yields the sum of the logarithmic function and the Euler-Mascheroni constant. We discuss more general aspects concerning the logarithm of an operator for the study of the properties of the Bessel functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-09-11T11:56:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33"
    ],
    "keywords": [
      "derivative operator",
      "properties",
      "euler-mascheroni constant",
      "logarithmic function",
      "bessel functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.5978B"
    }
  }
}