{
  "id": "1006.2505",
  "version": "v2",
  "published": "2010-06-13T02:38:44.000Z",
  "updated": "2017-10-03T20:56:07.000Z",
  "title": "Series with Hermite Polynomials and Harmonic Numbers",
  "authors": [
    "Khristo N. Boyadzhiev"
  ],
  "comment": "This paper was not published in a journal in this form. It became part of the joint paper \"Series with Hermite polynomials and applications\" which was published with a coauthor Ayhan Dil. The new paper is now on arxiv.org and the present one becomes redundant. It should be removed. In fact, it is being replaced by Series with Hermite Polynomials and Applications arXiv:1710.00687",
  "categories": [
    "math.NT",
    "math.CA"
  ],
  "abstract": "This paper is now part of the new paper \"Series with Hermite polynomials and applications\" arXiv:1710.00687.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-06-13T02:38:44.000Z",
      "abstract": "We obtain a series transformation formula involving the classical Hermite polynomials. We then provide a number of applications using appropriate binomial transformations. Several of the new series involve Hermite polynomials and Harmonic numbers. We also obtain a series involving both Hermite and Laguerre polynomials, and a series with Hermite polynomials and Stirling numbers of the second kind.",
      "comment": "11 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-10-03T20:56:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83"
    ],
    "keywords": [
      "harmonic numbers",
      "appropriate binomial transformations",
      "series transformation formula",
      "second kind",
      "laguerre polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.2505B"
    }
  }
}