The sharp bound for the third Hankel determinant of the inverse of functions associated with lemniscate of Bernoulli

被引：4

作者：

Viswanadh, G. K. Surya ^{[1
]}

Rath, Biswajit ^{[1
]}

Kumar, K. Sanjay ^{[1
]}

Krishna, D. Vamshee ^{[1
]}

机构：

[1] GITAM Univ, Gitam Inst Sci, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 07期

关键词：

Univalent function; Hankel determinant; lemniscate of Bernoulli; Caratheodory function; inverse function; ANALYTIC-FUNCTIONS; COEFFICIENT BOUNDS; CONVEX; KIND;

D O I：

10.1142/S1793557123501267

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present the sharp bounds for the third Hankel determinant |H3,1(f(-1))| and Zalcman functional |t(2)/(3)- t(5|)| of the inverse function of the familiar subfamily of starlike functions associated with the right half of lemniscate of Bernoulli.

引用

页数：13

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