Subclasses of Analytic Functions Subordinated to the Four-Leaf Function

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-27 DOI:10.3390/axioms13030155

Saravanan Gunasekar, Baskaran Sudharsanan, Musthafa Ibrahim, T. Bulboacă

引用次数: 0

Abstract

The purpose of this research is to unify and extend the study of the well-known concept of coefficient estimates for some subclasses of analytic functions. We define the new subclass A4r,s of analytic functions related to the four-leaf domain, to increase the adaptability of our investigation. The initial findings are the bound estimates for the coefficients |an|, n=2,3,4,5, among which the bound of |a2| is sharp. Also, we include the sharp-function illustration. Additionally, we obtain the upper-bound estimate for the second Hankel determinant for this subclass as well as those for the Fekete–Szegő functional. Finally, for these subclasses, we provide an estimation of the Krushkal inequality for the function class A4r,s.

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从属于四叶函数的解析函数子类

本研究的目的是统一和扩展对某些子类解析函数的众所周知的系数估计概念的研究。我们定义了与四叶域相关的解析函数的新子类 A4r,s，以提高研究的适应性。最初的发现是系数 |an|, n=2,3,4,5 的边界估计，其中 |a2| 的边界是尖锐的。同时，我们还加入了尖锐函数图解。此外，我们还得到了这一子类的第二汉克尔行列式的上限估计以及 Fekete-Szegő 函数的上限估计。最后，对于这些子类，我们提供了函数类 A4r,s 的克鲁什卡不等式估计值。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.