| 关于α次的殆星映射推广的Roper-Suffridge算子的一个注记 |
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| 引用本文： | 刘小松,冯淑霞.关于α次的殆星映射推广的Roper-Suffridge算子的一个注记[J].数学季刊,2007,22(1):22-28. |
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| 作者姓名： | 刘小松 冯淑霞 |
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| 作者单位： | LIU Xiao-song（School of Mathematics and Computation Science, Zhanjiang Normal University, Zhanjiang 524048,China）
FENG Shu-xia（College of Mathematics and Information Science, Henan University, Kaifeng 475001, China） |
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| 基金项目： | 国家自然科学基金;广东省自然科学基金;河南大学校科研和教改项目 |
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| 摘 要： | Suppose f is an almost starlike function of order α on the unit disk D. In this paper, we will prove that Φn, β2, γ2, …, βn, γn (f)(z) = (f(z1), (f(z1)/z1)β2(f'(z1))γ2z2,…,(f(z1)/z1)βn(f'(z11))γnzn)' preserves almost starlikeness of order α on Ωn,p1,p2,…,pn = {z =(z1,z2,…,zn)' ∈ Cn n∑j=1 |zj|pj ＜ 1}, where 0 ＜ p11 ≤ 2, pj ≥ 1, j = 2,…,n, are real numbers.
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| 关 键 词： | almost starlike mapping of order α |
| 文章编号： | 1002-0462(2007)01-0022-07 |
| 修稿时间： | 2006年6月4日 |
A Remark on the Generalized Roper-Suffridge Extension Operator for Almost Stalike Mappings of Order α |
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| LIU Xiao-song,FENG Shu-xia.A Remark on the Generalized Roper-Suffridge Extension Operator for Almost Stalike Mappings of Order α[J].Chinese Quarterly Journal of Mathematics,2007,22(1):22-28. |
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| Authors: | LIU Xiao-song FENG Shu-xia |
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| Abstract: | |
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| Keywords: | starlike mapping generalized Roper-Suffridge extension operator |
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