{
  "id": "1702.01927",
  "version": "v1",
  "published": "2017-02-07T08:54:08.000Z",
  "updated": "2017-02-07T08:54:08.000Z",
  "title": "Evaluation of Some Integrals Following from $L_1$, the Constant of the Asymptotic Expansion of $\\ln Γ_1 (x+1)$, Originating from Physics (QED)",
  "authors": [
    "W. Dittrich"
  ],
  "comment": "10 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Comparison of three different regularization methods of calculating the one-loop effective Heisenberg-Euler Lagrangian of quantum electro-dynamics (QED) is employed to derive some interesting integrals involving the asymptotic expansion of $\\ln \\Gamma_1(x+1)$, the generalized $\\Gamma$ function. Here it is the constant $L_1$ that will enable us to calculate some integrals which are useful in mathematics as well as in physics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-07T08:54:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic expansion",
      "evaluation",
      "one-loop effective heisenberg-euler lagrangian",
      "regularization methods",
      "originating"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}