{
  "id": "1610.01369",
  "version": "v1",
  "published": "2016-10-05T11:35:38.000Z",
  "updated": "2016-10-05T11:35:38.000Z",
  "title": "Self-referential Functions",
  "authors": [
    "Michael Barnsley",
    "Markus Hegland",
    "Peter Massopust"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We introduce the concept of fractels for functions and discuss their analytic and algebraic properties. We also consider the representation of polynomials and analytic functions using fractels, and the consequences of these representations in numerical analysis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-05T11:35:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "self-referential functions",
      "analytic functions",
      "representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}