The sharp bound of the third Hankel determinant of kth-root transformation for analytic functions

被引：0

作者：

Rath, Biswajit ^{[1
]}

Kumar, K. Sanjay ^{[1
]}

Krishna, D. Vamshee ^{[2
]}

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

机构：

[1] GITAM Deemed Univ, GITAM Sch Sci, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India

[2] North Eastern Hill Univ NEHU, Dept Math, Shillong 793022, Meghalaya, India

来源：

AFRIKA MATEMATIKA | 2024年 / 35卷 / 02期

关键词：

Analytic function; Univalent function; Hankel determinant; k(th)-root transformation; Caratheodory function; COEFFICIENT; INVERSE; KIND;

D O I：

10.1007/s13370-024-01174-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we delve into the fascinating realm of analytic mappings within the open unit disc, focusing on functions that are standardly normalized. Our research is centered on determining the sharp upper bound of the third Hankel determinant for a kth-root transformation applied to a specific subclass of these analytic functions.

引用

页数：14