Applications of Shell-like Curves Connected with Fibonacci Numbers

被引：1

作者：

Amourah, Ala ^{[1
]}

Aldawish, Ibtisam ^{[2
]}

Frasin, Basem Aref ^{[3
]}

Al-Hawary, Tariq ^{[4
]}

机构：

[1] Irbid Natl Univ, Fac Sci & Technol, Dept Math, Irbid 21110, Jordan

[2] Imam Mohammad Ibn Saud Islamic Univ, Coll Sci, Dept Math & Stat, IMSIU, Riyadh 11566, Saudi Arabia

[3] Al al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan

[4] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

Fekete-Szego problem; bi-univalent functions; Fibonacci numbers; analytic functions; shell-like curve; BI-BAZILEVIC FUNCTIONS; SUBCLASSES; POLYNOMIALS;

D O I：

10.3390/axioms12070639

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce a new subclass J Sigma(eta,delta,mu)((p) over tilde) of bi-univalent functions, defined by shell-like curves connected with Fibonacci numbers. Our main results in this paper include estimates of the Taylor-Maclaurin coefficients |a(2)| and |a(3)| for functions in this subclass, as well as solutions to Fekete-Szego functional problems. We also show novel outcomes resulting from the specialization of the parameters used in our main results.

引用

页数：11

共 38 条

[1] A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials
Al-Hawary, Tariq
Amourah, Ala
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[J]. MATHEMATICS, 2023, 11 (04)
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[8] Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials
Amourah, Ala
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Alsoboh, Abdullah
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[9] Bi-Bazilevic functions of order θ
Amourah, Ala
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[J]. AIMS MATHEMATICS, 2021, 6 (05): : 4296 - 4305
[10] Fekete-Szego Inequality for Analytic and Biunivalent Functions Subordinate to Gegenbauer Polynomials
Amourah, Ala
Frasin, Basem Aref
Abdeljawad, Thabet
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021

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