Coefficient Inequalities and Fekete-Szego-Type Problems for Family of Bi-Univalent Functions

被引:5
|
作者
Al-Hawary, Tariq [1 ]
Amourah, Ala [2 ]
Almutairi, Hasan [3 ]
Frasin, Basem [4 ]
机构
[1] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun 26816, Jordan
[2] Irbid Natl Univ, Fac Sci & Informat Technol, Dept Math, Irbid 21110, Jordan
[3] Univ Hafr Albatin, Fac Sci, Dept Math, Hafr Albatin 39524, Saudi Arabia
[4] Al al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan
来源
SYMMETRY-BASEL | 2023年 / 15卷 / 09期
关键词
holomorphic; univalent; bi-univalent; Maclaurin series; coefficient inequalities; Fekete-Szego;
D O I
10.3390/sym15091747
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
In this study, we present a novel family of holomorphic and bi-univalent functions, denoted as E & omega;(& eta;,& epsilon;;Ϝ). We establish the coefficient bounds for this family by utilizing the generalized telephone numbers. Additionally, we solve the Fekete-Szego functional for functions that belong to this family within the open unit disk. Moreover, our results have several consequences.
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页数:9
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