Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator

被引：9

作者：

Al-Rawashdeh, Waleed ^{[1
]}

机构：

[1] Zarqa Univ, Dept Math, Zarqa 13110, Jordan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES | 2023年 / 2023卷

关键词：

SUBCLASSES;

D O I：

10.1155/2023/2573044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,alpha, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. For functions in this class, we derive the estimations for the initial Taylor-Maclaurin coefficients a2 and a3. Moreover, we obtain the classical Fekete-Szego inequality of functions belonging to this class.

引用

页数：7

共 32 条

[1]

Abdullah K. I., 2022, Science Journal of University of Zakho, V10, P66

[2]

Abirami C., 2020, ABSTR APPL ANAL, DOI 10.1155/2020/7391058

[3]

Al-Rawashdeh W., A Family of Close-To-Convex Functions Satisfying Subordinate Conditions

[4]

Al-Rawashdeh W., A Class of Non-bazilevic Functions Subordinate to Gegenbauer Polynomials

[5]

Al-Rawashdeh W., 2023, European Journal of Pure and applied Mathematics

[6]

Al-Rawashdeh W, 2024, INT J MATH COMPUT SC, V19, P635

[7] On the Chebyshev coefficients for a general subclass of univalent functions [J].

Altinkaya, Sahsene ;

Yalcin, Sibel .

TURKISH JOURNAL OF MATHEMATICS, 2018, 42 (06) :2885-2890

[8] Coefficient bounds for new subclasses of bi-univalent functions [J].

Caglar, Murat ;

Orhan, Halit ;

Yagmur, Nihat .

FILOMAT, 2013, 27 (07) :1165-1171

[9] A general approach to the Fekete-Szego problem [J].

Choi, Jae Ho ;

Kim, Yong Chan ;

Sugawa, Toshiyuki .

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2007, 59 (03) :707-727

[10]

Duren P., 1977, Subordination in Complex Analysis, P22

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