Second Hankel determinant for certain class of bi-univalent functions defined by Chebyshev polynomials

被引：16

作者：

Orhan, H. ^{[1
]}

Magesh, N. ^{[2
]}

Balaji, V. K. ^{[3
]}

机构：

[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

[2] Govt Arts Coll Men, Postgrad & Res Dept Math, Krishnagiri 635001, Tamil Nadu, India

[3] LN Govt Coll, Dept Math, Chennai, Tamil Nadu, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 12卷 / 02期

关键词：

Analytic functions; bi-univalent functions; coefficient bounds; Chebyshev polynomial; second Hankel determinant; FEKETE-SZEGO PROBLEM; INITIAL COEFFICIENT BOUNDS; GENERAL SUBCLASS; CONVEX FUNCTIONS; STARLIKE;

D O I：

10.1142/S1793557119500177

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we obtain an upper bound estimate for the second Hankel determinant of a subclass N-sigma(mu) (lambda, t) of analytic bi-univalent function class sigma which is associated with Chebyshev polynomials in the open unit disk.

引用

页数：16

共 50 条

[41] Hankel Determinant for a Subclass of Bi-Univalent Functions Defined by Using a Symmetric q-Derivative Operator
Srivastava, H. M.
Altinkaya, Sahsene
Yalcin, Sibel
FILOMAT, 2018, 32 (02) : 503 - 516
[42] Hankel determinant of a subclass of analytic and bi-univalent functions defined by means of subordination and q-differentiation
Lasode, Ayotunde Olajide
Opoola, Timothy Oloyede
INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (02): : 3105 - 3114
[43] On the Second Hankel Determinant of Logarithmic Coefficients for Certain Univalent Functions
Vasudevarao Allu
Vibhuti Arora
Amal Shaji
Mediterranean Journal of Mathematics, 2023, 20
[44] On the Second Hankel Determinant of Logarithmic Coefficients for Certain Univalent Functions
Allu, Vasudevarao
Arora, Vibhuti
Shaji, Amal
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (02)
[45] Upper Bound of Second Hankel Determinants for Certain Subclasses of Bi-univalent Functions Using Subordination
Laxmi, K. Rajya
Sharma, R. Bharavi
Priya, M. Hari
PROCEEDINGS OF THE 10TH NATIONAL CONFERENCE ON MATHEMATICAL TECHNIQUES AND ITS APPLICATIONS (NCMTA 18), 2018, 1000
[46] Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials
Srivastava, H. M.
Altinkaya, Sahsene
Yalcin, Sibel
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A4): : 1873 - 1879
[47] Certain classes of bi-univalent functions associated with the Horadam polynomials
Orhan, Halit
Mamatha, Paduvalapattana Kempegowda
Swamy, Sondekola Rudra
Magesh, Nanjundan
Yamini, Jagadeesan
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2021, 13 (01) : 258 - 272
[48] Certain Subclasses of Bi-Univalent Functions Associated with the Horadam Polynomials
H. M. Srivastava
Şahsene Altınkaya
Sibel Yalçın
Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 1873 - 1879
[49] Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative
Akin, Gulfem
Eker, Sevtap Sumer
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (12) : 1005 - 1010
[50] CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL OPERATOR
Pathak, A. L.
Porwal, S.
Agarwal, R.
Shukla, Puneet
JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES, 2023, 22 (3-4): : 289 - 296

← 1 2 3 4 5 →