论文标题
Landau-Bloch型定理用于椭圆形和$ K $ - Quasiregular谐波映射
Landau-Bloch type theorem for elliptic and $K$-quasiregular harmonic mappings
论文作者
论文摘要
在本文中，我们建立了一个改进的快速和椭圆谐波映射的系数范围， 使用这些边界，我们为$（k，k'）$ - 椭圆形和k-quasiregular谐波建立Landau-Bloch类型定理 飞机上的映射。此外，我们证明了$ k $ quasiconformal谐波自映射的系数估计值在单位磁盘$ \ mathbb {d} $上定义。
In this paper, we establish an improved coefficient bounds for quasiregular and elliptic harmonic mappings and using these bounds we establish Landau-Bloch type theorem for $(K,K')$-elliptic and K-quasiregular harmonic mappings in plane. Furthermore, we prove the coefficient estimates for $K$-quasiconformal harmonic self maps defined on the unit disk $\mathbb{D}$.
