|
|||||
|
|
| A Remark on the Generalized Roper-Suffridge Extension Operator for Almost Stalike Mappings of Order α | |
| 作者姓名： | LIU Xiao-song~ FENG Shu-xia~ |
| 作者单位： | 1.School of Mathematics and Computation Science，Zhanjiang Normal University，Zhanjiang 524048，China; 2.College of Mathematics and Information Science，Henan University，Kaifeng 475001，China |
| 基金项目： | Supported by the National Natural Science Foundation of China(10626015,10571044)，Supported by the Guangdong Natural Science Foundation(06301315)，Supported by the Doctoral Foundation of Zhanjiang Normal University(Z0420)，Supported by the Natural Science Foundation of Henan University(XK03YBSX200) |
| 摘 要： | Suppose f is an almost starlike function of orderαon the unit disk D.In this paper,we will prove thatΦ_(n,β_2,γ_2,…,β_n,γ_n)(f)(z)=(f(z_1),((f(z_1)/z_1))~β_2(f′(z_1))~(γ_2)z_2,…, ((f(z_1)/z_1))~(β_n)(f′(z_1))~(γ_n)z_n)′preserves almost starlikeness of orderαonΩ_(n,p_1,p_2,…,p_n)={z= (z_1,z_2,…,z_n)′∈C~n:(sum from j=1 to n)|z_j|~(p_j)<1},where 0 |
| 关 键 词： | almost starlike mapping of orderα starlike mapping generalized Roper-Suffridge extension operator |
| 本文献已被 CNKI 维普 等数据库收录！ | |