{
  "id": "1012.3700",
  "version": "v1",
  "published": "2010-12-16T17:54:03.000Z",
  "updated": "2010-12-16T17:54:03.000Z",
  "title": "On Taylor series and Kapteyn series of the first and second type",
  "authors": [
    "Diego Dominici"
  ],
  "comment": "17 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We study the relation between the coefficients of Taylor series and Kapteyn series representing the same function. We compute explicit formulas for expressing one in terms of the other and give examples to illustrate our method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-16T17:54:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "taylor series",
      "second type",
      "explicit formulas",
      "coefficients",
      "kapteyn series representing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.3700D"
    }
  }
}