Localization of zeros of polar polynomials on the unit disk
Costas-Santos, R. S. and Rehouma, A. Rocky Mountain Journal of Mathematics 54, no. 4 (2024), 995 — 1004Abstract
In the paper we derive useful results about the zeros of the \(k\)-polar polynomials on the unit circle, in particular, we obtain a circular region containing all the zeros of these polynomials. Some examples are presented.
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BibTeX
@article{MR4790466,
AUTHOR={Costas-Santos, R S. and Rehouma, A.},
TITLE={L{OCALIZATION} {OF} {ZEROS} {OF} {POLAR} {POLYNOMIALS} {ON} {THE} {UNIT} {DISK}},
JOURNAL={Rocky Mountain J. Math.},
FJOURNAL={The Rocky Mountain Journal of Mathematics},
VOLUME={54},
YEAR={2024},
NUMBER={4},
PAGES={995--1004},
ISSN={0035-7596},
MRCLASS={Prelim},
MRNUMBER={4790466},
DOI={10.1216/rmj.2024.54.995},
URL={https://doi.org/10.1216/rmj.2024.54.995},
}