{
  "id": "1601.02094",
  "version": "v1",
  "published": "2016-01-09T10:43:59.000Z",
  "updated": "2016-01-09T10:43:59.000Z",
  "title": "New properties of the Lerch's transcendent",
  "authors": [
    "E. M. Ferreira",
    "A. K. Kohara",
    "J. Sesma"
  ],
  "comment": "10 pages, 1 figure",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "A new representation of the Lerch's transcendent Phi(z,s,a), valid for positive integer s=n=1,2,... and for z and a belonging to certain regions of the complex plane, is presented. It allows to write an equation relating Phi(z,n,a) and Phi(1/z,n,1-a), which provides an expansion of Phi(z,n,a) as a power series of 1/z, convergent for |z|>1.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-01-09T10:43:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11M35",
      "30E15"
    ],
    "keywords": [
      "properties",
      "lerchs transcendent phi",
      "complex plane",
      "equation relating phi",
      "power series"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}