Normal harmonic mappings

The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk $\mathbb{D}$ to the complex plane. In particular, we obtain necessary conditions for that a function $f$ to be normal.

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Bibliographische Detailangaben
Hauptverfasser: Arbeláez, Hugo, Hernández, Rodrigo, Sierra, Willy
Format: Artikel
Sprache:eng
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Zusammenfassung:The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk $\mathbb{D}$ to the complex plane. In particular, we obtain necessary conditions for that a function $f$ to be normal.
DOI:10.48550/arxiv.1804.02945