{
  "id": "1010.0429",
  "version": "v2",
  "published": "2010-10-03T19:04:24.000Z",
  "updated": "2010-12-09T06:00:26.000Z",
  "title": "Rational approximations for the quotient of gamma values",
  "authors": [
    "Khodabakhsh Hessami Pilehrood",
    "Tatiana Hessami Pilehrood"
  ],
  "comment": "15 pages; to appear in Indag. Math",
  "journal": "Indag. Math. (N. S.) 20 (2009), no. 4, 583--601",
  "categories": [
    "math.NT"
  ],
  "abstract": "In this paper, we continue to study properties of rational approximations to Euler's constant and values of the Gamma function defined by linear recurrences, which were found recently by A. I. Aptekarev and T. Rivoal. Using multiple Jacobi-Laguerre orthogonal polynomials we present rational approximations to the quotient of values of the Gamma function at rational points. As a limit case of our result, we obtain new explicit formulas for numerators and denominators of the Aptekarev approximants to Euler's constant.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-12-09T06:00:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational approximations",
      "gamma values",
      "eulers constant",
      "gamma function",
      "multiple jacobi-laguerre orthogonal polynomials"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1010.0429H"
    }
  }
}