Hermitian-Toeplitz and Hankel determinants for certain starlike functions

被引：17
|
作者：
Cho, Nak Eun [1 ]
Kumar, Sushil [2 ]
Kumar, Virendra [3 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea
[2] Bharati Vidyapeeths Coll Engn, Delhi 110063, India
[3] Univ Delhi, Dept Math, Ramanujan Coll, Delhi 110019, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2022年 / 15卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Starlike functions; modified sigmoid functions; bell numbers; Hermitian-Toeplitz and Hankel determinants; COEFFICIENT BOUNDS; CONVEX-FUNCTIONS; 2ND;
D O I：
10.1142/S1793557122500425
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The sharp lower and upper estimates on the second- and third-order Hermitian- Toeplitz determinants for the classes of starlike functions associated with the modified sigmoid function and a related function, whose Taylor coefficients are the Bell numbers, are investigated. Further, the third and fourth Hankel determinants for these classes are also estimated.
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页数：16
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