{
  "id": "math/0506385",
  "version": "v1",
  "published": "2005-06-20T02:01:13.000Z",
  "updated": "2005-06-20T02:01:13.000Z",
  "title": "Ramanujan's Inverse Elliptic Arc Approximation",
  "authors": [
    "Mark B. Villarino"
  ],
  "comment": "Four pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "We suggest a continued fraction origin to Ramanujan's approximation to {(a-b)/(a+b)}^2 in terms of the arc length of an ellipse with semiaxes a and b. Moreover, we discuss the asymptotic accuracy of the approximation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-20T02:01:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "41A25",
      "41A60"
    ],
    "keywords": [
      "ramanujans inverse elliptic arc approximation",
      "arc length",
      "ramanujans approximation",
      "continued fraction origin",
      "asymptotic accuracy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......6385V"
    }
  }
}