涉及心域和正弦函数的解析函数和m-Fold对称函数子类的第三汉克尔行列式

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2023-11-10 DOI:10.3390/sym15112039

Ayman Alahmade, Zeeshan Mujahid, Ferdous M. O. Tawfiq, Bilal Khan, Nazar Khan, Fairouz Tchier

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引用次数: 0

摘要

在此研究中，我们定义了几个解析函数的子类，它们与单位圆盘上的正弦函数和心域相联系。我们研究了这些新定义的函数f的初始系数界、Fekete-Szego问题以及第二和第三Hankel行列式。我们还定义了一类与正弦函数相关的m重对称函数，然后研究了两重对称和三重对称函数的第三汉克尔行列式的界。

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Third Hankel Determinant for Subclasses of Analytic and m-Fold Symmetric Functions Involving Cardioid Domain and Sine Function

In this research, we define a few subclasses of analytic functions which are connected to sine functions and the cardioid domain in the unit disk. We investigate initial coefficient bounds, the Fekete–Szego problem and second and third Hankel determinants for the functions f belonging to these newly defined classes. We also define the class of m-fold symmetric functions related with the sine function and then investigate the bounds of the third Hankel determinant for twofold symmetric and threefold symmetric functions.

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.