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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