摘要
对单叶复调和星像函数的一个子族和单叶复调和凸像函数的一个子族进行了研究,得到了这两个族分别将任一原点为心的圆盘映成星像或凸像区域.还得到了系数估计、增长定理、覆盖半径等.
For univalent compound harmonic functions,two classes ofmapp ings with star-image and convex-image are Btudied respectively.Someresults are obtained,including coefficient estimates, growth theorems and coveringradius for these classes of mappings.
关键词
单叶复调和函数
星像函数
凸像函数
调和函数
univalent compound harmonic functions
star-image function
convex-image funct ion
growth property;coefficient estimates