{
  "id": "1710.00687",
  "version": "v1",
  "published": "2017-09-29T15:09:40.000Z",
  "updated": "2017-09-29T15:09:40.000Z",
  "title": "Series with Hermite Polynomials and Applications",
  "authors": [
    "Khristo N. Boyadzhiev",
    "Ayhan Dil"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1006.2505",
  "journal": "PUBLICATIONES MATHEMATICAE-DEBRECEN, Volume: 80 Issue: 3-4 Pages: 385-404, 2012",
  "doi": "10.5486/PMD.2012.5072",
  "categories": [
    "math.NT"
  ],
  "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, Lucas sequences, exponential and geometric 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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-29T15:09:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "33C45",
      "05A19"
    ],
    "keywords": [
      "applications",
      "series transformation formula",
      "appropriate binomial transformations",
      "classical hermite polynomials",
      "harmonic numbers"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}