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

[11] Amourah A, 2021, AFR MAT, V32, P1059, DOI 10.1007/s13370-021-00881-x
[12] Duren P.L., 1983, Univalent Functions
[13] Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers
Dziok, Jacek
Raina, Ravinder Krishna
Sokol, Janusz
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2605 - 2613
[14] On α-convex functions related to shell-like functions connected with Fibonacci numbers
Dziok, Jacek
Raina, Ravinder Krishna
Sokol, Janusz
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 996 - 1002
[15] FILIPPONI P, 1993, FIBONACCI QUART, V31, P194
[16] FILIPPONI P, 1991, APPLICATIONS OF FIBONACCI NUMBERS, VOL 4, P99
[17] Some special families of holomorphic and Al-Oboudi type bi-univalent functions related to k-Fibonacci numbers involving modified Sigmoid activation function
Frasin, B. A.
Swamy, S. R.
Nirmala, J.
[J]. AFRIKA MATEMATIKA, 2021, 32 (3-4) : 631 - 643
[18] New subclasses of bi-univalent functions
Frasin, B. A.
Aouf, M. K.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1569 - 1573
[19] CERTAIN SUBCLASSES OF BI-UNIVALENT FUNCTIONS RELATED TO k-FIBONACCI NUMBERS
Guney, H. Ozlem
Murugusundaramoorthy, G.
Sokol, J.
[J]. COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1909 - 1921
[20] Subclasses of bi-univalent functions related to shell-like curves connected with Fibonacci numbers
Guney, H. Ozlem
Murugusundaramoorthy, G.
Sokol, J.
[J]. ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA, 2018, 10 (01) : 70 - 84

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