Bounds on the Third Order Hankel Determinant for Certain Subclasses of Analytic Functions

被引：5

作者：

Vijayalakshmi, S. P. ^{[1
]}

Sudharsan, T. V. ^{[2
]}

Breaz, Daniel ^{[3
]}

Subramanian, K. G. ^{[4
]}

机构：

[1] Ethiraj Coll, Dept Math, Madras 600008, Tamil Nadu, India

[2] SIVET Coll, Dept Math, Madras 600078, Tamil Nadu, India

[3] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia, Romania

[4] Madras Christian Coll, Dept Math, Madras 600059, Tamil Nadu, India

来源：

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2017年 / 25卷 / 03期

关键词：

Analytic functions; Hankel determinant; Functions with positive real part; INVERSE;

D O I：

10.1515/auom-2017-0045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be the class of analytic functions f (z) in the unit disc Delta = {Z is an element of C : broken vertical bar z broken vertical bar < 1 }with the Taylor series expansion about the origin given by f (z) = z + Sigma(infinity)(n=2) a(n)z(n,) z is an element of Delta. The focus of this paper is on deriving upper bounds for the third order Hankel determinant H-3(1) for two new subclasses of A.

引用

页码：199 / 214

页数：16

共 50 条

[1] Second Hankel determinant for bounded turning functions of order beta of certain subclasses of analytic functions
Yahya, A.
Tokachil, M. N.
2ND INTERNATIONAL CONFERENCE ON APPLIED & INDUSTRIAL MATHEMATICS AND STATISTICS, 2019, 1366
[2] Third Hankel Determinant for Certain Classes of Analytic Functions
Kumar, Virendra
Kumar, Sushil
Ravichandran, V
MATHEMATICAL ANALYSIS I: APPROXIMATION THEORY, ICRAPAM 2018, 2020, 306 : 223 - 231
[3] COEFFICIENT INEQUALITY FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH HANKEL DETERMINANT
Krishna, D. Vamshee
Reddy, T. Ram
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2015, 46 (01): : 91 - 106
[4] Upper Bound of Second Hankel Determinant for Certain Subclasses of Analytic Functions
Liu, Ming-Sheng
Xu, Jun-Feng
Yang, Ming
ABSTRACT AND APPLIED ANALYSIS, 2014,
[5] Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant
D. Vamshee Krishna
T. Ram Reddy
Indian Journal of Pure and Applied Mathematics, 2015, 46 : 91 - 106
[6] SHARP BOUNDS ON THE HANKEL DETERMINANT OF THE INVERSE FUNCTIONS FOR CERTAIN ANALYTIC FUNCTIONS
Shi, Lei
Arif, Muhammad
Srivastava, H. M.
Ishan, Muhammad
JOURNAL OF MATHEMATICAL INEQUALITIES, 2023, 17 (03): : 1129 - 1143
[7] THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS
Bansal, Deepak
Maharana, Sudhananda
Prajapat, Jugal Kishore
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) : 1139 - 1148
[8] Certain Bounds for a Subclasses of Analytic Functions of Reciprocal Order
Dhanalakshmi, K.
Kavitha, D.
Anitha, K.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
[9] The Sharp Bounds of the Third-Order Hankel Determinant for Certain Analytic Functions Associated with an Eight-Shaped Domain
Shi, Lei
Shutaywi, Meshal
Alreshidi, Naseer
Arif, Muhammad
Ghufran, Syed Muhammad
FRACTAL AND FRACTIONAL, 2022, 6 (04)
[10] Bounds for the Second Hankel Determinant of Certain Generalized Class of Analytic Functions
Mohamed, Norlyda
Malek, Aminah Abdul
Roslan, Nur Hawani
Rahman, Nurhanis Abdul
Kamal, Zammariyah Mustafa
4TH INNOVATION AND ANALYTICS CONFERENCE & EXHIBITION (IACE 2019), 2019, 2138

← 1 2 3 4 5 →