Multiplicity of zeros of polynomials
Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940.
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| Main Author: | |
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| Format: | Article |
| Published: |
2021
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| Series: | JOURNAL OF APPROXIMATION THEORY
267 |
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| doi: | 10.1016/j.jat.2021.105594 |
| mtmt: | 32360730 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/23760 |
| Summary: | Sharp bounds are given for the highest multiplicity of zeros of polynomials in terms of their norm on Jordan curves and arcs. The results extend a theorem of Erdos and Turan and solve a problem of them from 1940. |
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| Physical Description: | Terjedelem: 19-Azonosító: 105594 |
| ISSN: | 0021-9045 |