Properties of normal harmonic mappings
In this paper, we present several necessary and sufficient conditions for a harmonic mapping to be normal. Also, we discuss maximum principle and five-point theorem for normal harmonic mappings. Furthermore, we investigate the convergence of sequences for sense-preserving normal harmonic mappings an...
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| Veröffentlicht in: | Monatshefte für Mathematik 2020-11, Vol.193 (3), p.605-621 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, we present several necessary and sufficient conditions for a harmonic mapping to be normal. Also, we discuss maximum principle and five-point theorem for normal harmonic mappings. Furthermore, we investigate the convergence of sequences for sense-preserving normal harmonic mappings and show that the asymptotic values and angular limits are identical for normal harmonic mappings. |
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| ISSN: | 0026-9255 1436-5081 |
| DOI: | 10.1007/s00605-020-01459-8 |