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Linear Combinations of Univalent Mappings with Complex Coefficients

Zhihong Liu, Yulin Cai, Ziwei Wang, Lei Shi, Yingchun Li and Ming-Sheng Liu

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: 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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9188781

DOI: 10.1155/2021/9188781

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