INITIAL COEFFICIENTS AND FOURTH HANKEL DETERMINANT FOR CERTAIN ANALYTIC FUNCTIONS

被引：8
|
作者：
Cho, Nak Eun [1 ]
Kumar, Virendra [2 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea
[2] Univ Delhi, Ramanujan Coll, Dept Math, New Delhi 110019, India
来源：
MISKOLC MATHEMATICAL NOTES | 2020年 / 21卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
starlike functions; third Hankel determinant; fourth Hankel determinant; initial coefficients; 3RD KIND;
D O I：
10.18514/MMN.2020.3083
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The present work is an attempt to give partial proofs of certain conjectures on the fifth coefficient of certain normalized analytic functions. Further, bounds on the sixth and seventh coefficients for the starlike functions related to a lune are also investigated. The non-sharp bound on third and fourth Hankel determinants are also obtained.
引用
收藏
页码：763 / 779
页数：17
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