Fekete and Szegö Inequalities for a Class of Holomorphic Mappings

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.