Applications of the q-Wanas operator for a certain family of bi-univalent functions defined by subordination

被引:2
作者
Wanas, Abbas Kareem [1 ]
Mahdi, Ahmed Mohsin [2 ]
机构
[1] Univ Al Qadisiyah, Coll Sci, Dept Math, Al Qadisiyah, Iraq
[2] Univ Al Qadisiyah, Coll Comp Sci & Informat Technol, Al Diwaniyah, Al Qadisiyah, Iraq
关键词
Holomorphic functions; bi-univalent functions; coefficient estimates; FeketeSzego inequality; q-Wanas operator; subordination; INTEGRAL OPERATOR; Q-STARLIKE; SUBCLASSES; CONVEX;
D O I
10.1142/S179355712350095X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, we introduce and investigate a certain family TE(delta,lambda,s,t,sigma,eta,q:upsilon) of holomorphic and bi-univalent functions which are defined in the open unit disk U associated with q-Wanas operator. The estimates on the initial Taylor-Maclaurin coefficients | b(2) | and | b(3) | for the certain family are obtained. Also, we solve the FeketeSzego type inequality for functions in this family.
引用
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页数:16
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