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.

引用

页数：19

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