Fibonacci Numbers Related to Some Subclasses of Bi-Univalent Functions

被引:2
作者
Amourah, Ala [1 ,2 ]
Frasin, Basem Aref [3 ]
Salah, Jamal [4 ]
Al-Hawary, Tariq [5 ]
机构
[1] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 3111, Oman
[2] Jadara Univ, Jadara Univ Res Ctr, Irbid 21110, Jordan
[3] Al Al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan
[4] Asharqiyah Univ, Coll Appl & Hlth Sci, Post Box 42, Ibra 400, Oman
[5] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan
关键词
CONVEX; STARLIKE;
D O I
10.1155/2024/8169496
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This research paper introduces the novel subclass Gamma(theta,beta,mu)(Sigma) ((q) over tilde) of bi-univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient vertical bar a(2)vertical bar and the third coefficient vertical bar a(3)vertical bar for functions within this specific subclass. In addition, we provide solutions to Fekete-Szego functional problems. Furthermore, our investigation reveals intriguing outcomes resulting from the specific parameter values used in our main findings.
引用
收藏
页数:9
相关论文
共 32 条
[1]   Coefficient Inequalities and Fekete-Szego-Type Problems for Family of Bi-Univalent Functions [J].
Al-Hawary, Tariq ;
Amourah, Ala ;
Almutairi, Hasan ;
Frasin, Basem .
SYMMETRY-BASEL, 2023, 15 (09)
[2]   Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [J].
Ali, Rosihan M. ;
Lee, See Keong ;
Ravichandran, V. ;
Supramaniam, Shamani .
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :344-351
[3]   Investigating New Subclasses of Bi-Univalent Functions Associated with q-Pascal Distribution Series Using the Subordination Principle [J].
Alsoboh, Abdullah ;
Amourah, Ala ;
Darus, Maslina ;
Rudder, Carla Amoi .
SYMMETRY-BASEL, 2023, 15 (05)
[4]   A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions [J].
Amourah, Ala ;
Alsoboh, Abdullah ;
Ogilat, Osama ;
Gharib, Gharib Mousa ;
Saadeh, Rania ;
Al Soudi, Maha .
AXIOMS, 2023, 12 (02)
[5]   An Application of Miller-Ross-Type Poisson Distribution on Certain Subclasses of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials [J].
Amourah, Ala ;
Frasin, Basem Aref ;
Seoudy, Tamer M. .
MATHEMATICS, 2022, 10 (14)
[6]   Consolidation of a Certain Discrete Probability Distribution with a Subclass of Bi-Univalent Functions Involving Gegenbauer Polynomials [J].
Amourah, Ala ;
Alomari, Mohammad ;
Yousef, Feras ;
Alsoboh, Abdullah .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
[7]   Coefficient bounds for Al-Oboudi type bi-univalent functions connected with a modified sigmoid activation function and k-Fibonacci numbers [J].
Amourah, Ala ;
Frasin, Basem Aref ;
Swamy, Sondekola Rudra ;
Sailaja, Yerragunta .
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 27 (02) :105-117
[8]  
Amourah A, 2021, AFR MAT, V32, P1059, DOI 10.1007/s13370-021-00881-x
[9]  
Duren P. L., 1983, Univalent Functions, Grundlehren der Mathematishen Wissenschaften
[10]   Certain results for a class of convex functions related to a shell-like curve connected with Fibonacci numbers [J].
Dziok, Jacek ;
Raina, Ravinder Krishna ;
Sokol, Janusz .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) :2605-2613