Hankel Determinant and Toeplitz Determinant on the Class of Bazilevic Functions Related to the Bernoulli Lemniscate

被引：1

作者：

Asih, Ni Made ^{[1
,2
]}

Fitri, Sa'adatul ^{[1
]}

Wibowo, Ratno Bagus Edy ^{[1
]}

Marjono ^{[1
]}

机构：

[1] Univ Brawijaya, Fac Math & Nat Sci, Dept Math, Jl Vet, Malang 65145, Indonesia

[2] Univ Udayana, Fac Math & Nat Sci, Dept Math, Kuta Selatan, Indonesia

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 16卷 / 02期

关键词：

Coefficients; Bazilevic functions; Bernoulli Lemniscate; Subordina-tion; Hankel determinant; Toeplitz determinant; STARLIKE FUNCTIONS;

D O I：

10.29020/nybg.ejpam.v16i2.4772

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this papers, we investigate the Hankel determinant and Toeplitz determinant for the class Bazilevic? Function B1(a, d) related to the Bernoulli Lemniscate function on the unit disk D = {z : |z| < 1} and obtain the upper bounds of the determinant H-2(1), H-2(2), T-2(1), and investigate H-2(1) using coefficients invers function. We used lemma from Charateodory-Toeplitz and Libera about sharp inequalities for functions with positive real part.

引用

页码：1290 / 1301

页数：12

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