摘要
利用线性微分算子L,我们定义了单位圆盘D内的一类单叶调和函数.通过对这类调和映射性质的研究,我们得到了关于这类调和映射的系数条件,偏差定理,极值点,以及它们在凸组合和卷积的运算下的不变性.
By using linear differential operator L, a class of harmonic univalent functions in the unit disk D is defined. By studying properties of this kind of harmonic mappings, coefficient conditions, distortion bounds, extreme points are obtained, which are invariant under the operations convex of combination and convolution.
作者
黄叶腾
HUANG Yeteng(Department of Mathematics, Shantou University, Shantou 515063, Guangdong, China)
出处
《汕头大学学报（自然科学版）》
2019年第1期39-47,共9页
Journal of Shantou University：Natural Science Edition
关键词
调和单叶
系数估计
偏差定理
极值点
凸组合
卷积
harmonic univalent
coefficient condition
distortion bounds
extreme points
convex combination
convolution
