一类与Salagean q-微分算子相关的解析函数子类的性质

IF 3.6 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Fractal and Fractional Pub Date : 2023-10-30 DOI:10.3390/fractalfract7110793

Abdel Moneim Y. Lashin, Abeer O. Badghaish, Fayzah A. Alshehri

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引用次数: 0

摘要

利用Salagean q-微分算子，研究了开单位圆盘上解析函数的一个新子类，并利用Hadamard积给出了包含关系。进一步研究了这类函数的系数条件、卷积性质和分数阶微积分算子的应用。此外，我们将Miller和Mocanu不等式推广到解析函数的q理论中。

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Properties for a Certain Subclass of Analytic Functions Associated with the Salagean q-Differential Operator

Using the Salagean q-differential operator, we investigate a novel subclass of analytic functions in the open unit disc, and we use the Hadamard product to provide some inclusion relations. Furthermore, the coefficient conditions, convolution properties, and applications of the q-fractional calculus operators are investigated for this class of functions. In addition, we extend the Miller and Mocanu inequality to the q-theory of analytic functions.

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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.