{
  "id": "math/0701438",
  "version": "v2",
  "published": "2007-01-16T11:00:32.000Z",
  "updated": "2007-05-20T18:46:12.000Z",
  "title": "Generalized Elliptic Integrals and the Legendre M-function",
  "authors": [
    "V. Heikkala",
    "H. Lindén",
    "M. K. Vamanamurthy",
    "M. Vuorinen"
  ],
  "comment": "28 pages",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "We study monotonicity and convexity properties of functions arising in the theory of elliptic integrals, and in particular in the case of a Schwarz-Christoffel conformal mapping from a half-plane to a trapezoid. We obtain sharp monotonicity and convexity results for combinations of these functions, as well as functional inequalities and a linearization property.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-05-20T18:46:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33B15"
    ],
    "keywords": [
      "generalized elliptic integrals",
      "legendre m-function",
      "linearization property",
      "study monotonicity",
      "convexity properties"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jmaa.2007.05.020",
      "journal": "Journal of Mathematical Analysis and Applications",
      "year": 2008,
      "month": "Feb",
      "volume": 338,
      "number": 1,
      "pages": 223
    },
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JMAA..338..223H"
    }
  }
}