{
  "id": "1902.03405",
  "version": "v1",
  "published": "2019-02-09T10:50:41.000Z",
  "updated": "2019-02-09T10:50:41.000Z",
  "title": "A new class of special functions arising from the solution of differential equations involving multiple proportional delays",
  "authors": [
    "Jayvant Patade",
    "Sachin Bhalekar"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "Proportional delay is a particular case of time dependent delay. In this article, we consider differential equations involving multiple delays. The series solution of this equation leads to a class of special functions. This class of special functions is independent from all the existing special functions obtained as a solution of differential equations. We analyze the basic properties of this class and discuss various identities and relations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-09T10:50:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33E99"
    ],
    "keywords": [
      "differential equations",
      "multiple proportional delays",
      "special functions arising",
      "time dependent delay",
      "existing special functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}