Fekete-Szegö Inequality for a Subclass of Bi-Univalent Functions Linked to q-Ultraspherical Polynomials

被引：0

作者：

Alsoboh, Abdullah ^{[1
]}

Caglar, Murat ^{[2
]}

Buyankara, Mucahit ^{[3
]}

机构：

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

[2] Erzurum Tech Univ, Fac Sci, Dept Math, Erzurum, Turkiye

[3] Bingol Univ, Vocat Sch Social Sci, Dept Business Management, Bingal, Turkiye

来源：

CONTEMPORARY MATHEMATICS | 2024年 / 5卷 / 02期

关键词：

analytic functions; subordination; orthogonal polynomial; q-Ultraspherical polynomials; Fekete-Szeg & ouml; problem; quantum calculus; univalent; bi-univalent functions; OPERATOR; DOMAIN;

D O I：

10.37256/cm.5220243737

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study, we introduce a new class of bi-univalent functions using q-Ultraspherical polynomials. We derive the Fekete and Szeg & ouml; functional problems for functions in this new subclass, as well as estimates for the Taylor-Maclaurin coefficients | alpha 2 | and | alpha 3 | . Furthermore, a collection of fresh outcomes is presented by customizing the parameters employed in our initial discoveries.

引用

页码：2366 / 2380

页数：15

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