Norm estimation for pre-Schwarzian and Schwarzian derivatives of some univalent functions
UDC 517.5 Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order $\alpha$ and type $\beta.$ In addition, we present an example of a function $f \in S^*(\alpha, \beta)$ that cannot be $k$-q...
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| Date: | 2026 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8599 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | UDC 517.5
Our purpose is to obtain estimates for the norms of Schwarzian and pre-Schwarzian derivatives of strongly starlike functions and strongly convex functions of order $\alpha$ and type $\beta.$ In addition, we present an example of a function $f \in S^*(\alpha, \beta)$ that cannot be $k$-quasiconformally extended for any $k < \alpha(1 - \beta).$ |
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| DOI: | 10.3842/umzh.v77i6.8599 |