Hankel determinant for a general subclass of m-fold symmetric biunivalent functions defined by Ruscheweyh operators

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-01-30 DOI:10.1186/s13660-024-03088-3

Pishtiwan Othman Sabir, Ravi P. Agarwal, Shabaz Jalil Mohammedfaeq, Pshtiwan Othman Mohammed, Nejmeddine Chorfi, Thabet Abdeljawad

引用次数: 0

Abstract

Making use of the Hankel determinant and the Ruscheweyh derivative, in this work, we consider a general subclass of m-fold symmetric normalized biunivalent functions defined in the open unit disk. Moreover, we investigate the bounds for the second Hankel determinant of this class and some consequences of the results are presented. In addition, to demonstrate the accuracy on some functions and conditions, most general programs are written in Python V.3.8.8 (2021).

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由 Ruscheweyh 算子定义的 m 折对称双等价函数一般子类的汉克尔行列式

在这项工作中，我们利用汉克尔行列式和 Ruscheweyh 导数，考虑了定义在开放单位盘中的 m 折对称归一化双等价函数的一般子类。此外，我们还研究了该类函数的第二汉克尔行列式的边界，并给出了结果的一些后果。此外，为了证明某些函数和条件的准确性，我们使用 Python V.3.8.8 (2021) 编写了大部分通用程序。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.