On a generalized class of bi-univalent functions defined by subordination and \(q\)-derivative operator

Xiaojing Chen, W. Chu
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引用次数: 0

Abstract

In this paper, the \(q\)-derivative operator and the principle of subordination were employed to define a subclass \(\mathcal{B}_q(\tau,\lambda,\phi)\) of analytic and bi-univalent functions in the open unit disk \(\mathcal{U}\). For functions \(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\), we obtained early coefficient bounds and some Fekete-Szegö estimates for real and complex parameters.
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关于由从属算子和\(q\)-导数算子定义的一类广义双单价函数
本文利用\(q\) -导数算子和从属原理,定义了开单位盘\(\mathcal{U}\)上解析函数和双单价函数的一个子类\(\mathcal{B}_q(\tau,\lambda,\phi)\)。对于函数\(f(z)\in\mathcal{B}_q(\tau,\lambda,\phi)\),我们得到了实参数和复参数的早期系数界和一些Fekete-Szegö估计。
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来源期刊
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0.00%
发文量
10
审稿时长
8 weeks
期刊最新文献
Multiplicity results for a class of nonlinear singular differential equation with a parameter Floquet Exponent of Solution to Homogeneous Growth-Fragmentation Equation Some new results of ostrowski type inequalities using 4-step quadratic kernel and their applications An Introduction to the Construction of Subfusion Frames Upper Estimates For Initial Coefficients and Fekete-Szegö Functional of A Class of Bi-univalent Functions Defined by Means of Subordination and Associated with Horadam Polynomials
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