一类新的线性算子解析函数子类的Hankel行列式

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-08-01 DOI:10.46793/kgjmat2204.605p

Laxmipriya Parida, T. Bulboacă, Ashok KUMAR SAHOO

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引用次数: 0

摘要

利用Carlson和Shaffer定义的算子L（a，c），我们定义了一个新的分析函数ML（λ，a，c）的子类。确定了著名的Fekete-Szegö问题，二阶Hankel行列式的上界和第四系数的系数界。我们的调查概括了以前在不同文章中获得的一些结果。

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Hankel Determinants for a New Subclasses of Analytic Functions Involving a Linear Operator

Using the operator L(a, c) defined by Carlson and Shaffer, we defined a new subclass of analytic functions ML(λ, a, c). The well known Fekete-Szegö problem, upper bound of Hankel determinant of order two, and coefficient bound of the fourth coefficient is determined. Our investigation generalises some previous results obtained in different articles.

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