Linear Combinations of Univalent Mappings with Complex Coefficients

Linear Combinations of Univalent Mappings with Complex Coefficients

In this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-8
Hauptverfasser: Liu, Zhihong, Cai, Yulin, Wang, Ziwei, Shi, Lei, Li, Yingchun
Format: Artikel
Sprache:eng
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Mathematics
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Zusammenfassung:In this paper, we study the linear combinations of two univalent mappings with complex coefficients, and we derive several sufficient conditions that the linear combinations of these mappings are locally univalent and convex in one direction. Several examples are constructed to demonstrate the main results.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/9188781