Coefficient bounds for class of g-starlike mappings of complex order γ in

被引：1

作者：

Xiong, Liangpeng ^{[1
]}

Wang, Yaqian ^{[1
]}

Zhang, Ruyu ^{[1
]}

机构：

[1] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp Sci, Nanchang, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Bounded starlike circular domain; Fekete-Szego problems; holomorphic mappings; g-starlike mappings of complex order gamma; SZEGO PROBLEM; HOMOGENEOUS EXPANSIONS; FEKETE; INEQUALITIES; SUBCLASSES;

D O I：

10.1080/17476933.2023.2209729

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the definition of g-starlike mappings of complex order gamma is extended from the case of unit open disk in C to the cases of the unit ball in a complex Banach space, unit polydisk and bounded starlike circular domain in C-n, respectively, where g are the Caratheodory functions and gamma is an element of C\{0}. The sharp unified solutions of Fekete- Szego type problems for g-starlike mappings of complex order. in several complex variables are solved. Compare with some recent corresponding works, the main results hold true without any restrictive assumptions and the proofs are also more simple. All theorems can naturally be reduced to the different cases of subclasses of starlike mappings and g-starlike mappings by choosing suitable gamma and g.

引用

页码：1270 / 1280

页数：11

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