{
  "id": "2205.11517",
  "version": "v1",
  "published": "2022-05-23T09:07:15.000Z",
  "updated": "2022-05-23T09:07:15.000Z",
  "title": "Monomiality and a New Family of Hermite Polynomials",
  "authors": [
    "Giuseppe Dattoli",
    "Silvia Licciardi"
  ],
  "comment": "13 pages, 2 Figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this article we go deeply into the formulation and meaning of the monomiality principle and employ it to study the properties of a set of polynomials, which, asymptotically, reduce to the ordinary two variable Kampe de Feriet family. We derive the relevant differential equations and discuss the associated orthogonality properties, along with the relevant generalized forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-23T09:07:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33C52",
      "33C65",
      "33C99",
      "33B10",
      "33B15",
      "33C45",
      "44A99",
      "47B99",
      "47A62"
    ],
    "keywords": [
      "hermite polynomials",
      "relevant differential equations",
      "relevant generalized forms",
      "monomiality principle",
      "associated orthogonality properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}