New Subclass of Close-to-Convex Functions Defined by Quantum Difference Operator and Related to Generalized Janowski Function

IF 2.2 3区 综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES Symmetry-Basel Pub Date : 2023-10-25 DOI:10.3390/sym15111974
Suha B. Al-Shaikh, Mohammad Faisal Khan, Mustafa Kamal, Naeem Ahmad
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引用次数: 0

Abstract

This work begins with a discussion of the quantum calculus operator theory and proceeds to develop and investigate a new family of close-to-convex functions in an open unit disk. Considering the quantum difference operator, we define and study a new subclass of close-to-convex functions connected with generalized Janowski functions. We prove the necessary and sufficient conditions for functions that belong to newly defined classes, including the inclusion relations and estimations of the coefficients. The Fekete–Szegő problem for a more general class is also discussed. The results of this investigation expand upon those of the previous study.
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由量子差分算子定义的与广义Janowski函数相关的近凸函数的新子类
本工作从量子微积分算子理论的讨论开始,并继续发展和研究开单位盘上的一组新的近凸函数。考虑量子差分算子,定义并研究了一类与广义Janowski函数连通的近凸函数的新子类。我们证明了新定义类函数的充要条件,包括包含关系和系数的估计。本文还讨论了一类更一般的fekete - szegov问题。这项调查的结果在先前研究的基础上得到了扩展。
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
Symmetry-Basel
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.
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