{
  "id": "1502.00102",
  "version": "v1",
  "published": "2015-01-31T13:10:25.000Z",
  "updated": "2015-01-31T13:10:25.000Z",
  "title": "An integral representation for the product of two parabolic cylinder functions having unrelated arguments",
  "authors": [
    "M. L. Glasser"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "An integral representation is provided for the parabolic cylinder function product $D_{\\mu}(x)D_{\\mu}(-y)$ where $Re\\,\\mu<0$ and $x>y$ are unrelated. A few simple consequences are given in the form of hyperbolic integrals and a sum rule.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-31T13:10:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C15"
    ],
    "keywords": [
      "integral representation",
      "unrelated arguments",
      "parabolic cylinder function product",
      "simple consequences",
      "hyperbolic integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150200102G"
    }
  }
}