Fekete-Szego Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials

被引：56

作者：

Amourah, Ala ^{[1
]}

Frasin, Basem Aref ^{[2
]}

Abdeljawad, Thabet ^{[3
,4
,5
]}

机构：

[1] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid, Jordan

[2] Al Bayt Univ, Fac Sci, Dept Math, Mafraq, Jordan

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia

[4] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[5] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan

来源：

JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷

关键词：

UNIVALENT; COEFFICIENT; SUBCLASSES;

D O I：

10.1155/2021/5574673

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, a subclass of analytic and biunivalent functions by means of Gegenbauer polynomials is introduced. Certain coefficients bound for functions belonging to this subclass are obtained. Furthermore, the Fekete-Szego problem for this subclass is solved. A number of known or new results are shown to follow upon specializing the parameters involved in our main results.

引用

页数：7

共 32 条

[1] Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator [J].

Aldawish, Ibtisam ;

Al-Hawary, Tariq ;

Frasin, B. A. .

MATHEMATICS, 2020, 8 (05)

[2]

Altinkaya S~, 2017, Asia Pac J Math, V4, P90

[3]

Amourah A., AIP C P, V2096

[4]

Amourah A., 2020, Palest J Math, V9, P187

[5]

Amourah A., PALESTINE J MATH, P2021

[6]

Amourah A., 2020, FEKETE SZEGO INEQUAL

[7] Bi-Bazilevic functions of order θ [J].

Amourah, Ala ;

Frasin, B. A. ;

Murugusundaramoorthy, G. ;

Al-Hawary, Tariq .

AIMS MATHEMATICS, 2021, 6 (05) :4296-4305

[8]

Amourah A, 2021, AFR MAT, V32, P1059, DOI 10.1007/s13370-021-00881-x

[9]

Amourah Ala, 2019, General Letters in Mathematics, V7, P45, DOI DOI 10.31559/GLM2019.7.2.1

[10]

Bateman H., 1953, HIGHER TRANSCENDENTA

← 1 2 3 4 →