Analytic Functions Related to a Balloon-Shaped Domain

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-12-05 DOI:10.3390/fractalfract7120865

Adeel Ahmad, Jianhua Gong, Isra Al-shbeil, A. Rasheed, Asad Ali, Saqib Hussain

引用次数: 0

Abstract

One of the fundamental parts of Geometric Function Theory is the study of analytic functions in different domains with critical geometrical interpretations. This article defines a new generalized domain obtained based on the quotient of two analytic functions. We derive various properties of the new class of normalized analytic functions X defined in the new domain, including the sharp estimates for the coefficients a2,a3, and a4, and for three second-order and third-order Hankel determinants, H2,1X,H2,2X, and H3,1X. The optimality of each obtained estimate is given as well.

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与气球形域相关的解析函数

几何函数理论的一个基本部分是研究具有关键几何解释的不同域的解析函数。本文定义了基于两个解析函数的商得到的一个新的广义定义域。我们推导了在新定域上定义的新一类归一化解析函数X的各种性质，包括系数a2,a3和a4的锐估计，以及三个二阶和三阶Hankel行列式H2,1X,H2,2X和H3,1X的锐估计。并给出了得到的每个估计的最优性。

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

Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

4.60

自引率

18.50%

发文量

632

审稿时长

11 weeks

期刊介绍： Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.