Sharp bounds for some segments of bounded power series
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913929597288448 |
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| author | Kovalev, Leonid V. |
| author_facet | Kovalev, Leonid V. |
| contents | We obtain sharp upper bounds for three-term segments of a bounded power series. Along the way we show that the Taylor polynomials of a certain algebraic function do not vanish in the unit disk. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04544 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sharp bounds for some segments of bounded power series Kovalev, Leonid V. Complex Variables Primary 30B10, Secondary 30C15, 30H10, 30J10 We obtain sharp upper bounds for three-term segments of a bounded power series. Along the way we show that the Taylor polynomials of a certain algebraic function do not vanish in the unit disk. |
| title | Sharp bounds for some segments of bounded power series |
| topic | Complex Variables Primary 30B10, Secondary 30C15, 30H10, 30J10 |
| url | https://arxiv.org/abs/2507.04544 |