The Bound of the Hankel Determinant of the Third Kind for Starlike Functions

被引：91

作者：

Kwon, Oh Sang ^{[1
]}

Lecko, Adam ^{[2
]}

Sim, Young Jae ^{[1
]}

机构：

[1] Kyungsung Univ, Dept Math, Busan 48434, South Korea

[2] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 02期

关键词：

Univalent functions; Starlike functions; Caratheodory functions; Hankel determinant; Fourth coefficient;

D O I：

10.1007/s40840-018-0683-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, the estimate of the third Hankel determinant for the class of starlike functions, i. e., for the class of analytic functions f standardly normalized such that Re(z f (z)/ f (z)) > 0, z. D := {z. C : | z| < 1}, is improved.

引用

页码：767 / 780

页数：14

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