Coefficient Problems of Quasi-Convex Mappings of Type B on the Unit Ball in Complex Banach Spaces

被引：1
|
作者：
Zhang, Ruyu [1 ]
Ouyang, Dongling [1 ]
Xiong, Liangpeng [1 ]
机构：
[1] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp Sci, Nanchang 330038, Jiangxi, Peoples R China
来源：
MATHEMATICA SLOVACA | 2023年 / 73卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Biholomorphic mappings; complex Banach space; Fekete-Szego problems; quasi-convex mappings of type B; zero of order k+1; SZEGO PROBLEM; FEKETE; SUBCLASSES;
D O I：
10.1515/ms-2023-0089
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the sharp solutions of Fekete-Szego problems are provided for class of quasi-convex mappings f(1) of type B and class of quasi-convex mappings f(2) of type B and order alpha defined on the unit ball in a complex Banach space, respectively, where x = 0 is a zero of order k + 1 of f(i)(x) - x (i = 1, 2). Compare with some recent works, our main theorems hold without additional restrictive conditions. Also, the proof of our main theorems are more simple than those given in the previous results.
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页码：1207 / 1216
页数：10
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