Critical points of polynomials
This paper is devoted to the problem of where the critical points of a polynomial are relative to their zeros. Classical and new developments are surveyed along with illustrative examples. The paper finishes with a short proof of the sector theorem of Sendov and Sendov.
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| Main Author: | |
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| Format: | Article |
| Published: |
2021
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| Series: | ACTA MATHEMATICA HUNGARICA
164 No. 2 |
| Subjects: | |
| doi: | 10.1007/s10474-021-01133-x |
| mtmt: | 32371992 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/23761 |
| Summary: | This paper is devoted to the problem of where the critical points of a polynomial are relative to their zeros. Classical and new developments are surveyed along with illustrative examples. The paper finishes with a short proof of the sector theorem of Sendov and Sendov. |
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| Physical Description: | 499-517 |
| ISSN: | 0236-5294 |