{
  "id": "1907.03094",
  "version": "v1",
  "published": "2019-07-06T08:06:38.000Z",
  "updated": "2019-07-06T08:06:38.000Z",
  "title": "A $q$-Analogue of $r$-Whitney Numbers of the Second Kind and Its Hankel Transform",
  "authors": [
    "Roberto B. Corcino",
    "Jay M. Ontolan",
    "Jennifer Cañete",
    "Mary Joy R. Latayada"
  ],
  "comment": "The paper is composed of 13 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "A $q$-analogue of $r$-Whitney numbers of the second kind, denoted by $W_{m,r}[n,k]_q$, is defined by means of a triangular recurrence relation. In this paper, several fundamental properties for the $q$-analogue are established including other forms of recurrence relations, explicit formulas and generating functions. Moreover, a kind of Hankel transform for $W_{m,r}[n,k]_q$ is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-06T08:06:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "11B65",
      "11B73"
    ],
    "keywords": [
      "hankel transform",
      "second kind",
      "whitney numbers",
      "triangular recurrence relation",
      "fundamental properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}