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Peer-reviewedCC BYMathematics Interdisciplinary Research

On Entire and Analytic Functions of the Matrices AB and BA

  • Ali parsian1
  1. 1‎Department of Mathematics,‎Tafresh University, ‎Tafresh‎, ‎I‎. ‎R‎. ‎Iran
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Abstract

‎The relation zqχAB(z)=zpχBA(z) holds for the characteristic polynomials of complex matrices Ap× q and Bq× 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.

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Cite

BibTeXRIS
BibTeX
@article{parsian2026entire,
  title = {{On Entire and Analytic Functions of the Matrices AB and BA}},
  author = {Ali parsian},
  journal = {Mathematics Interdisciplinary Research},
  year = {2026},
  month = oct,
  doi = {10.22052/mir.2026.257757.1548},
  url = {https://doi.org/10.22052/mir.2026.257757.1548},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - On Entire and Analytic Functions of the Matrices AB and BA
AU  - Ali parsian
PY  - 2026
DA  - 2026/10/30
JO  - Mathematics Interdisciplinary Research
DO  - 10.22052/mir.2026.257757.1548
UR  - https://doi.org/10.22052/mir.2026.257757.1548
AB  - ‎The relation z^qχ_AB(z)=z^pχ_BA(z) holds for the characteristic polynomials of complex matrices A_p× q and B_q× 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.
SN  - 2476-4965
ER  -