{
  "id": "2012.03629",
  "version": "v1",
  "published": "2020-12-07T12:23:48.000Z",
  "updated": "2020-12-07T12:23:48.000Z",
  "title": "Coefficientwise total positivity of some matrices defined by linear recurrences",
  "authors": [
    "Xi Chen",
    "Bishal Deb",
    "Alexander Dyachenko",
    "Tomack Gilmore",
    "Alan D. Sokal"
  ],
  "comment": "LaTeX2e, 12 pages with 2 figures: extended abstract submitted to FPSAC 2021",
  "categories": [
    "math.CO"
  ],
  "abstract": "We exhibit a lower-triangular matrix of polynomials $T(a,c,d,e,f,g)$ in six indeterminates that appears empirically to be coefficientwise totally positive, and which includes as a special case the Eulerian triangle. We prove the coefficientwise total positivity of $T(a,c,0,e,0,0)$, which includes the reversed Stirling subset triangle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-07T12:23:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A19",
      "05A18",
      "05A20",
      "15B48"
    ],
    "keywords": [
      "coefficientwise total positivity",
      "linear recurrences",
      "lower-triangular matrix",
      "reversed stirling subset triangle",
      "eulerian triangle"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}