The sharp estimates of main coefficients for starlike mappings in DOUBLE-STRUCK CAPITAL Cn

被引：2
|
作者：
Liu, Xiaosong [1 ]
Liu, Taishun [2 ]
Zhang, Wenjun [3 ]
机构：
[1] Lingnan Normal Univ, Sch Math & Stat, Zhanjiang, Peoples R China
[2] Huzhou Univ, Dept Math, Huzhou, Peoples R China
[3] Shenzhen Univ, Sch Math & Stat, Shenzhen, Peoples R China
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2021年 / 66卷 / 10期
基金：
中国国家自然科学基金;
关键词：
Starlike mapping; starlike mapping of order alpha; main coefficient; sharp estimate; Reinhardt domain;
D O I：
10.1080/17476933.2020.1788002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let D-p1,D-p2,D- ...,(pn) = {z is an element of C-n: Sigma(n)(j=1)vertical bar z vertical bar(pj) < 1}, p(j) > 1, j = 1,2, ... , n. We mainly establish the sharp estimates of main coefficients of all homogeneous expansions for starlike mappings and starlike mappings of order alpha on D-p1,D-p2,D- ... ,D-pn under some weak restricted conditions. Our derived results are the generalization of the corresponding classical results in one complex variable.
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页码：1782 / 1795
页数：14
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