{
  "abstract": "‎The relation $z^{q}\\chi_{AB}(z)=z^{p}\\chi_{BA}(z)$ holds for the characteristic polynomials of complex matrices $A_{p\\times q}$ and $B_{q\\times p}$‎. ‎In the present paper‎, ‎we generalize this relation for‎ \"‎complex polynomials\"‎, \"‎entire functions,‎\" ‎and some‎ \"‎analytic functions‎\" ‎of AB and BA‎. ‎Some examples are also provided‎.",
  "abstract_shown": true,
  "affiliations": [
    "‎Department of Mathematics,‎Tafresh University, ‎Tafresh‎, ‎I‎. ‎R‎. ‎Iran"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Ali parsian"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/14yc1k4rqfjcw.bib",
  "cited_by": 0,
  "doi": "10.22052/mir.2026.257757.1548",
  "fulltext_url": null,
  "id": "14yc1k4rqfjcw",
  "issns": [
    "2476-4965"
  ],
  "landing_url": "https://doi.org/10.22052/mir.2026.257757.1548",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "lcc",
      "QA1-939"
    ],
    [
      "openalex",
      "1703|Matrix Theory and Algorithms"
    ]
  ],
  "openalex": "W7223697307",
  "pdf_url": "https://mir.kashanu.ac.ir/article_115782_3302e0db10073c9283b624d413b0fe9c.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": "University of Kashan",
  "ris": "https://research.draconitic.com/paper/14yc1k4rqfjcw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T13:44:41Z",
      "native_id": "b166d0c3407046358aae772b089cfc0a",
      "source": "doaj",
      "url": "https://doi.org/10.22052/mir.2026.257757.1548"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "lcc:QA1-939",
      "subfield": "general"
    }
  ],
  "title": "On Entire and Analytic Functions of the Matrices AB and BA",
  "title_text": "On Entire and Analytic Functions of the Matrices AB and BA",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T13:44:41Z",
  "url": "https://research.draconitic.com/paper/14yc1k4rqfjcw",
  "venue": "Mathematics Interdisciplinary Research",
  "versions": []
}