{
  "id": "1612.05009",
  "version": "v1",
  "published": "2016-12-15T10:49:16.000Z",
  "updated": "2016-12-15T10:49:16.000Z",
  "title": "Szegö kernels and asymptotic expansions for Legendre polynomials",
  "authors": [
    "Roberto Paoletti"
  ],
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "We present a geometric approach to the asymptotics of the Legendre polynomials $P_{k,n+1}$, based on the Szeg\\\"o kernel of the Fermat quadric hypersurface, and leading to complete asymptotic expansions holding on expanding subintervals of $[-1,1]$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-15T10:49:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "legendre polynomials",
      "fermat quadric hypersurface",
      "complete asymptotic expansions holding",
      "geometric approach",
      "expanding subintervals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}