{
  "id": "1507.01383",
  "version": "v1",
  "published": "2015-07-06T10:40:17.000Z",
  "updated": "2015-07-06T10:40:17.000Z",
  "title": "Complete $(p,q)$-elliptic integrals with application to a family of means",
  "authors": [
    "Shingo Takeuchi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CA",
    "math.AP"
  ],
  "abstract": "The complete elliptic integrals are generalized by using the generalized trigonometric functions with two parameters. Another proof of a result for a family of means by Bhatia and Li, which involves the logarithmic mean and the arithmetic-geometric mean, is given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-06T10:40:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "application",
      "complete elliptic integrals",
      "generalized trigonometric functions",
      "logarithmic mean",
      "arithmetic-geometric mean"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150701383K"
    }
  }
}