{
  "id": "2301.03176",
  "version": "v1",
  "published": "2023-01-09T05:24:59.000Z",
  "updated": "2023-01-09T05:24:59.000Z",
  "title": "A note on infinite series whose terms involve truncated degenerate exponentials",
  "authors": [
    "Dae San Kim",
    "Hye Kyung Kim",
    "Taekyun Kim"
  ],
  "comment": "7 pages",
  "categories": [
    "math.NT"
  ],
  "abstract": "The degenerate exponentials play an important role in recent study on degenerate versions of many special numbers and polynomials, the degenerate gamma function, the degenerate umbral calculus and the degenerate q-umbral calculus. The aim of this note is to consider infinite series whose terms involve truncated degenerate exponentials together with several special numbers and to find either their values or some other expressions of them as finite sums.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-09T05:24:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B83",
      "11B65",
      "11B73"
    ],
    "keywords": [
      "truncated degenerate exponentials",
      "infinite series",
      "special numbers",
      "degenerate q-umbral calculus",
      "degenerate exponentials play"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}