{
  "id": "2108.02435",
  "version": "v1",
  "published": "2021-08-05T08:09:51.000Z",
  "updated": "2021-08-05T08:09:51.000Z",
  "title": "Ome new theorems on generating functions and their applications on odd and even certain numbers attached to p and q parameters",
  "authors": [
    "N. Saba",
    "a. Boussayoud"
  ],
  "categories": [
    "math.NT"
  ],
  "abstract": "In this study, we first provide some new theorems by using the symmetrizing operator. After that, by using this theorems we introduce a new family of generating functions of odd and even terms of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q)-Jacobsthal numbers and (p,q)-Jacobsthal Lucas numbers. Then, we give the new generating functions of the products of these (p,q)-numbers with odd and even phrases of (p,q)-numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-05T08:09:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "11B39"
    ],
    "keywords": [
      "generating functions",
      "parameters",
      "applications",
      "lucas numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}