Univalence Criterion and Quasiconformal Extensions of Analytic Mappings
In the present paper, we study the criterion for univalence and quasiconformal extensions for locally univalent analytic mappings and analytic mappings. For locally univalent analytic functions, we introduce integral operators in Loewner chain and obtain sufficient conditions for univalent and quasi...
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| Date: | 2025 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна Національної академії наук України
2025
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| Subjects: | |
| Online Access: | https://jmag.ilt.kharkiv.ua/index.php/jmag/article/view/1110 |
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| Journal Title: | Journal of Mathematical Physics, Analysis, Geometry |
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Journal of Mathematical Physics, Analysis, Geometry| Summary: | In the present paper, we study the criterion for univalence and quasiconformal extensions for locally univalent analytic mappings and analytic mappings. For locally univalent analytic functions, we introduce integral operators in Loewner chain and obtain sufficient conditions for univalent and quasiconformal extensions to generalize the results of Becker, Ahlfors and Wang et al. For analytic functions, we use different proof methods to obtain a sufficient condition for univalence, which generalizes the result of Masih et al.
Mathematical Subject Classification 2020: 30C45, 30C55, 30C62 |
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