A Certain Subclass of Analytic Functions Related to q-Calculus and Their Second Hankel Determinant

被引：0

作者：

Alsoboh, Abdullah ^{[1
]}

Amourah, Ala ^{[2
,3
]}

Awad, Feras ^{[1
]}

Alahmade, Ayman ^{[4
]}

Gharib, Gharib ^{[5
]}

机构：

[1] Philadelphia Univ, Fac Sci, Dept Math, Amman 19392, Jordan

[2] Sohar Univ, Fac Educ & Arts, Math Educ Program, Sohar 3111, Oman

[3] Appl Sci Private Univ, Appl Sci Res Ctr, Amman, Jordan

[4] Taibah Univ, Fac Sci, Dept Math, Medina, Saudi Arabia

[5] Al Zarqa Univ, Math Dept, Zarqa, Jordan

来源：

MATHEMATICAL ANALYSIS AND NUMERICAL METHODS, IACMC 2023 | 2024年 / 466卷

关键词：

Analytic functions; Univalent functions; Hankel determinant; Fekete-Szego functional; q-Calculus; INVERSE;

D O I：

10.1007/978-981-97-4876-1_22

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a new subclass of analytic functions defined on the symmetry domain del. The subclass is characterized by a derivative operator associated with quantum calculus. We obtain estimations for the Fekete-Szego functional problems and for the absolute values of the second and third Taylor-Maclaurin coefficients of functions belonging to this new subclass. Additionally, we derive exact upper bounds for the second Hankel functional.

引用

页码：325 / 333

页数：9

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