摘要
本文给出一个将单位圆盘D={z||z|<1}映射到带形域Ω={w||Imw|<π/n}的复值函数类。该函数族是正规化的、单叶的且保持定向的调和函数族。并给出这个函数族的一些性质与极值点集。
This paper gives a family of complex functions which is normalized,univa-lent,orientation preserving and harmonic.These functions map the unit disk cen-tred at origin onto a strip fields with the real axis of symmetry and with 2π/n.Some properties and sets of extremal points are also given in this paper.
出处
《晓庄学院自然科学学报》
CAS
1989年第1期21-24,共4页
Journal of Natural Science of Hunan Normal University
关键词
调和函数
狄利克雷问题
复值函数
harmonic function
Dirichlet problem
extremal value
