Fekete and Szegö Inequalities for a Class of Holomorphic Mappings

IF 1 3区数学 Q1 MATHEMATICS

Bulletin of the Malaysian Mathematical Sciences Society Pub Date : 2024-03-27 DOI:10.1007/s40840-024-01677-5

Qinghua Xu

引用次数: 0

Abstract

In this paper, making use of the coefficient inequality for subordinate functions on the unit disc \(\mathbb {U}\) in \(\mathbb {C}\), we establish some refinements of the Fekete and Szegö inequalities for a class of holomorphic mappings related to spirallike mappings on bounded starlike circular domains in \(\mathbb {C}^n\). The results presented here would generalize some known results.

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一类全态映射的 Fekete 和 Szegö 不等式

本文利用在 \(\mathbb {C}\)中单位圆盘 \(\mathbb {U}\)上的隶属函数的系数不等式，为一类与 \(\mathbb {C}^n\)中有界星状圆域上的螺旋状映射相关的全形映射建立了费克特不等式（Fekete inequalities）和塞格不等式（Szegö inequalities）的一些细化。这里提出的结果将概括一些已知结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Malaysian Mathematical Sciences Society 数学-数学

CiteScore

2.40

自引率

8.30%

发文量

176

审稿时长

3 months

期刊介绍： This journal publishes original research articles and expository survey articles in all branches of mathematics. Recent issues have included articles on such topics as Spectral synthesis for the operator space projective tensor product of C*-algebras; Topological structures on LA-semigroups; Implicit iteration methods for variational inequalities in Banach spaces; and The Quarter-Sweep Geometric Mean method for solving second kind linear fredholm integral equations.