{
  "id": "1612.06842",
  "version": "v1",
  "published": "2016-12-20T20:41:08.000Z",
  "updated": "2016-12-20T20:41:08.000Z",
  "title": "On the functional equation $f^n(z)+g^n(z)=e^{αz+β}$",
  "authors": [
    "Qi Han",
    "Feng Lü"
  ],
  "categories": [
    "math.CV"
  ],
  "abstract": "We describe meromorphic solutions to the equations $f^n(z)+\\left(f'\\right)^n(z)=e^{\\alpha z+\\beta}$ and $f^n(z)+f^n(z+c)=e^{\\alpha z+\\beta}$ ($c\\neq0$) over the complex plane $\\mathbf{C}$ for integers $n\\geq1$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-20T20:41:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "30D30",
      "34M05",
      "39B32",
      "30D20",
      "30D35",
      "39A10"
    ],
    "keywords": [
      "functional equation",
      "meromorphic solutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}