On the Upper Bound of the Third Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function

被引：13

作者：

Breaz, Daniel ^{[1
]}

Catas, Adriana ^{[2
]}

Cotirla, Luminita-Ioana ^{[3
]}

机构：

[1] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia, Romania

[2] Univ Oradea, Dept Math, Oradea, Romania

[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca, Romania

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2022年 / 30卷 / 01期

关键词：

Elementary; operators; Compact operators; orthogonality; Gateaux derivative; Primary; 46G05; 46L05; Secondary; 47A30; 47B47; COEFFICIENTS; INVERSE;

D O I：

10.2478/auom-2022-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we introduce a new class of analytic functions f in the open unit disk normalized by f(0) = f(') (0)-1 = 0, associated with exponential functions. The aim of the present paper is to investigate the third-order Hankel determinant H-3(1) for this function class and obtain the upper bound of the determinant H-3(1).

引用

页码：75 / 88

页数：14

共 50 条

[1] Third-Order Hankel Determinant for Certain Class of Analytic Functions Related with Exponential Function
Zhang, Hai-Yan
Tang, Huo
Niu, Xiao-Meng
[J]. SYMMETRY-BASEL, 2018, 10 (10):
[2] UPPER BOUND FOR THIRD HANKEL DETERMINANT OF A CLASS OF ANALYTIC FUNCTIONS
Verma, S.
Kumar, R.
Murugusundaramoorthy, G.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (04): : 1472 - 1480
[3] Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
Raza M.
Malik S.N.
[J]. Journal of Inequalities and Applications, 2013 (1)
[4] Upper Bound of Hankel Determinant for a Class of Analytic Functions
Akyel, Tugba
[J]. FILOMAT, 2021, 35 (11) : 3713 - 3720
[5] Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions
Liu, Ming-Sheng
Xu, Jun-Feng
Yang, Ming
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[6] Upper bound of second Hankel determinant for a new class of analytic functions
Bansal, Deepak
[J]. APPLIED MATHEMATICS LETTERS, 2013, 26 (01) : 103 - 107
[7] Third Hankel Determinant for Certain Classes of Analytic Functions
Kumar, Virendra
Kumar, Sushil
Ravichandran, V
[J]. MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 223 - 231
[8] An upper bound to the nonlinear functional for certain subclasses of analytic functions associated with Hankel determinant
Krishna, D. Vamshee
Ramreddy, T.
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2014, 7 (02)
[9] Upper bound on the third hankel determinant for the class of univalent functions using an integral operator
Juma, Abdul Rahman S.
Al-Fayadh, Ali
Vijayalakshmi, S. P.
Sudharsan, T., V
[J]. AFRIKA MATEMATIKA, 2022, 33 (02)
[10] Upper bound on the third hankel determinant for the class of univalent functions using an integral operator
Abdul Rahman S. Juma
Ali Al-Fayadh
S. P. Vijayalakshmi
T. V. Sudharsan
[J]. Afrika Matematika, 2022, 33

← 1 2 3 4 5 →