数学季刊 >

2015 , Vol. 30 >Issue 3: 442 - 449

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.03.015

一类解析函数的Fekete-Szeg\"{o}不等式

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  • 1. Foundation Department, Chuzhou Vocational and Technical College2. Foundation Department, Guangzhou Civil Aviation College
GUO Dong(1976-), male, native of Linyi, Shandong, a lecturer of Chuzhou Vocational and Technical College, engages in complex analysis; LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, engages in theory of functions; HUANG Jin-chao(1974-), male, native of Fengyang, Anhui, a lecturer of Chuzhou Vocational and Technical College, engages in risk countermeasures and prediction.

收稿日期: 2014-09-23

  网络出版日期: 2020-11-20

基金资助

Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2015A372)；

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On the Fekete-Szeg\"{o} Problem for a Class of Analytic Functions

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  • 1. Foundation Department, Chuzhou Vocational and Technical College2. Foundation Department, Guangzhou Civil Aviation College
GUO Dong(1976-), male, native of Linyi, Shandong, a lecturer of Chuzhou Vocational and Technical College, engages in complex analysis; LI Zong-tao(1970-), male, native of Taian, Shandong, a lecturer of Guangzhou Civil Aviation College, engages in theory of functions; HUANG Jin-chao(1974-), male, native of Fengyang, Anhui, a lecturer of Chuzhou Vocational and Technical College, engages in risk countermeasures and prediction.

Received date: 2014-09-23

  Online published: 2020-11-20

Supported by

Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2015A372)；

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摘要

The Fekete-Szego inequality for a subclass H（α,λ,A,B） of the class H of normalized analytic functions is studied.For each f（z）=z+∞∑n=2αnzn ∈ H（α,λ,A,B）,the sharp upper bounds of |α3-α22|for any complex parameter u are obtained by using the fundamental inequalities of analytic functions and analytical techniques and the applications of the inequality of functions defined with Hadaniard product are proved. 

关键词： univalent function; H（α,λ,A,B） function; Fekete-Szeg\"{o} inequality

本文引用格式

郭栋, 李宗涛, 黄金超 . 一类解析函数的Fekete-Szeg\"{o}不等式[J]. 数学季刊, 2015 , 30(3) : 442 -449 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.03.015

Abstract

The Fekete-Szego inequality for a subclass H（α,λ,A,B） of the class H of normalized analytic functions is studied.For each f（z）=z+∞∑n=2αnzn ∈ H（α,λ,A,B）,the sharp upper bounds of |α3-α22|for any complex parameter u are obtained by using the fundamental inequalities of analytic functions and analytical techniques and the applications of the inequality of functions defined with Hadaniard product are proved. 

Key words： univalent function; H（α,λ,A,B） function; Fekete-Szeg\"{o} inequality

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