{
  "id": "1011.0189",
  "version": "v9",
  "published": "2010-10-31T18:38:27.000Z",
  "updated": "2014-06-01T12:15:04.000Z",
  "title": "Non-trivial Compositions of Differential Operations and Directional Derivative",
  "authors": [
    "Ivana V. Jovovic",
    "Branko J. Malesevic"
  ],
  "categories": [
    "math.CO",
    "math.DG"
  ],
  "abstract": "This paper is devoted to the enumeration of non-trivial compositions of higher order of differential operations and Gateaux directional derivative in $R^n$. We give recurrences for counting non-trivial compositions of higher order.",
  "revisions": [
    {
      "version": "v10",
      "updated": "2014-10-04T13:57:30.000Z",
      "title": "Enumeration of non-trivial compositions of differential operations and directional derivative",
      "abstract": "This paper is devoted to the enumeration of non-trivial compositions of higher order of differential operations and directional derivative in the space $R^n$ ($n \\geq 3)$. We present recurrences, related to the Fibonacci numbers, for counting non-trivial compositions of higher order.",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v9",
      "updated": "2014-06-01T12:15:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A10",
      "47B33",
      "05C30"
    ],
    "keywords": [
      "differential operations",
      "higher order",
      "counting non-trivial compositions",
      "gateaux directional derivative"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.0189B"
    }
  }
}