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

GUO Dong, LI Zong-tao, HUANG Jin-chao

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

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

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