一类解析函数的Fekete-Szeg\

doi:10.13371/j.cnki.chin.q.j.m.2015.03.015

数学季刊 ›› 2015, Vol. 30 ›› Issue (3): 442-449.doi: 10.13371/j.cnki.chin.q.j.m.2015.03.015

一类解析函数的Fekete-Szeg\"{o}不等式

1. Foundation Department, Chuzhou Vocational and Technical College2. Foundation Department, Guangzhou Civil Aviation College

收稿日期:2014-09-23 出版日期:2015-09-30 发布日期:2020-11-20
作者简介: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.
基金资助:
Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2015A372)；

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

1. Foundation Department, Chuzhou Vocational and Technical College2. Foundation Department, Guangzhou Civil Aviation College

Received:2014-09-23 Online:2015-09-30 Published:2020-11-20
About author: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.
Supported by:
Supported by the Natural Science Foundation of Department of Education of Anhui Province(KJ2015A372)；

摘要/Abstract

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=2α_nzⁿ ∈ 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

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=2α_nzⁿ ∈ 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

中图分类号:

O174.51

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.

GUO Dong, LI Zong-tao, HUANG Jin-chao. On the Fekete-Szeg\"{o} Problem for a Class of Analytic Functions[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(3): 442-449.

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一类解析函数的Fekete-Szeg\"{o}不等式

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

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