{
  "id": "1001.2911",
  "version": "v1",
  "published": "2010-01-17T17:51:23.000Z",
  "updated": "2010-01-17T17:51:23.000Z",
  "title": "Gamma,Psi,Bernoulli Functions via Hurwitz Zeta Function",
  "authors": [
    "Vivek V. Rane"
  ],
  "comment": "14 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "Using three basic facts concerning Hurwitz zeta function,we give new natural proofs of the known results on Bernoulli polynomials,gamma function and also obtain Gauss' expression for Psi function at a rational point,all in a unified fashion.We also give a new proof of the relation between log gamma and derivative of the Hurwitz zeta function,including that of Stirling's expression for log gamma.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-17T17:51:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M35"
    ],
    "keywords": [
      "bernoulli functions",
      "log gamma",
      "facts concerning hurwitz zeta function",
      "basic facts concerning hurwitz zeta",
      "expression"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}