Second Hankel Determinant for the Subclass of Bi-Univalent Functions Using q-Chebyshev Polynomial and Hohlov Operator

被引：18
|
作者：
Al-Shbeil, Isra [1 ]
Shaba, Timilehin Gideon [2 ]
Catas, Adriana [3 ]
机构：
[1] Univ Jordan, Dept Math, Amman 11942, Jordan
[2] Univ Ilorin, Dept Math, Ilorin 240003, Nigeria
[3] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania
来源：
FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 04期
关键词：
Hankel determinant; analytic and bi-univalent functions; subordination; Hohlov operator; q-Chebyshev polynomials; coefficient bounds; Fekete-Szego inequalities; COEFFICIENT; STARLIKE; BOUNDARY;
D O I：
10.3390/fractalfract6040186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The q-derivative and Hohlov operators have seen much use in recent years. First, numerous well-known principles of the q-derivative operator are highlighted and explained in this research. We then build a novel subclass of analytic and bi-univalent functions using the Hohlov operator and certain q-Chebyshev polynomials. A number of coefficient bounds, as well as the Fekete-Szego inequalities and the second Hankel determinant are provided for these newly specified function classes.
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页数：19
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