论文标题
在一个方向上构建单价谐波映射凸凸
Construction of univalent harmonic mappings convex in one direction
论文作者
论文摘要
在本文中，我们得出了几种线性组合和谐波映射的卷积的条件，使其在一个方向上是无数和凸的，其中一个给出了Dorff提出的开放问题的部分答案。此处介绍的结果提供了一些早期作品中给出的扩展和改进。还构建了几个在一个方向上的单价谐波映射凸音的例子，以证明主要结果。
In the present paper, we derive several conditions of linear combinations and convolutions of harmonic mappings to be univalent and convex in one direction, one of them gives a partial answer to an open problem proposed by Dorff. The results presented here provide extensions and improvements of those given in some earlier works. Several examples of univalent harmonic mappings convex in one direction are also constructed to demonstrate the main results.
