Faber polynomials with common roots
We describe two sets of meromorphic univalent functions in the class $\Sigma$, for which the sequences of Faber polynomials $\{F_j\}_{j=1}^\infty $ have the roots with following properties respectively: $\sum_{j=1}^{n}|F_j(z_0)|=0<|F_{n+1}(z_0)|, $ $n\in\mathbb N, $ and ${|F_1(z_0)|&a...
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| Date: | 2014 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут математики НАН України
2014
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/78 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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