| 单叶函数子族的性质 |
| |
| 引用本文： | 谢淑翠,王海燕.单叶函数子族的性质[J].陕西师范大学学报,1997(1). |
| |
| 作者姓名： | 谢淑翠 王海燕 |
| |
| 作者单位： | 西安邮电学院基础课部(谢淑翠)，陕西师范大学电化教育系(王海燕) |
| |
| 摘 要： | 将单叶函数与Ｈｐ空间的研究相结合，对Ｒｏｂｅｒｔｓｏｎ的关于边界点的星形函数族Ｇ进行讨论，得到了Ｇ族函数的卷积刻画、积分平均不等式、部分和特征及其与ＢＭＯＡ的关系．同时确定了系数是全单调且在原点值为１的解析函数关于边界点的星形半径及Ｇ类函数的邻域半径
|
| 关 键 词： | 单叶函数 卷积 积分平均 子族 Hp空间 |
Properties of subclasses of univalent functions |
| |
| Xie Shucui ,Wang Haiyan.Properties of subclasses of univalent functions[J].Journal of Shaanxi Normal University: Nat Sci Ed,1997(1). |
| |
| Authors: | Xie Shucui Wang Haiyan |
| |
| Institution: | Xie Shucui 1,Wang Haiyan 2 |
| |
| Abstract: | Being combined with the research of univalent functions and H p spaces, Robertson G univalent functions starlike with respect to a boundary point is studied. The convolution character, the partial sum character and the integral means inequality of the class G are obtained, at the same time, the relation of G with BMOA is given. The radius of starlikeness of the class consisting of the analytic functions with total monotone coefficients and having the value 1 at the origin and the radius of the neibourhood of the G functions are determined. |
| |
| Keywords: | univalent function convolution integral mean subclass H p space |
| 本文献已被 CNKI 等数据库收录！ |
