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

[31] The Second Hankel Determinant for a Certain Class of Bi-Close-to-Convex Functions
Guney, Hatun Ozlem
Murugusundaramoorthy, Gangadharan
Srivastava, Hari Mohan
RESULTS IN MATHEMATICS, 2019, 74 (03)
[32] On the Third Hankel Determinant of a Certain Subclass of Bi-Univalent Functions Defined by (p,q)-Derivative Operator
El-Ityan, Mohammad
Shakir, Qasim Ali
Al-Hawary, Tariq
Buti, Rafid
Breaz, Daniel
Cotirla, Luminita-Ioana
MATHEMATICS, 2025, 13 (08)
[33] A comprehensive subclass of bi-univalent functions associated with Chebyshev polynomials of the second kind
Feras Yousef
Somaia Alroud
Mohamed Illafe
Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 329 - 339
[34] Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator
Murugusundaramoorthy, G.
Vijaya, K.
Guney, H. O.
TBILISI MATHEMATICAL JOURNAL, 2018, 11 (02): : 153 - 166
[35] Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator
Liu, Likai
Zhai, Jie
Liu, Jin-Lin
AXIOMS, 2023, 12 (05)
[36] 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
[37] 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
[38] Second Hankel Determinant for Certain Subclasses of Bi-starlike Functions Defined by Differential Operators
Orhan, Halit
Arikan, Hava
Caglar, Murat
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (02): : 65 - 83
[39] Jacobi polynomials and bi-univalent functions
Amourah, Ala
Anakira, Nidal
Mohammed, M. J.
Jasim, Malath
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2024, 19 (04) : 957 - 968
[40] Certain subclasses of analytic and bi-univalent functions
Srivastava, H. M.
Mishra, A. K.
Gochhayat, P.
APPLIED MATHEMATICS LETTERS, 2010, 23 (10) : 1188 - 1192

← 1 2 3 4 5 →