一维Dunkl算子和Lipschitz条件的分数Riesz-Feller型导数

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-10-27 DOI:10.1080/10652469.2023.2272026

Fethi Bouzeffour, Wissem Jedidi

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引用次数: 1

摘要

摘要本文利用Dunkl变换和广义平移算子，导出了一类满足Lipschitz条件的函数的Riesz-Feller分数阶导数的类似形式。关键词:Dunkl算子Dunkl变换广义Dunkl平移分数阶导数2010数学学科分类:44A3342A3833C67致谢第一名作者感谢沙特阿拉伯利雅得沙特国王大学研究人员支持项目编号(RSPD2023R974)。披露声明作者未报告潜在的利益冲突。

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Fractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition

AbstractIn this paper, utilizing the Dunkl transform and a generalized translation operator, we derive an analogue of the Riesz-Feller fractional derivative for a class of functions satisfying Lipschitz conditions.Keywords: Dunkl operatorDunkl transformgeneralized Dunkl translationfractional derivative2010 Mathematics Subject Classifications: 44A3342A3833C67 AcknowledgmentsThe first-named author extends his appreciation to Researchers Supporting Project Number (RSPD2023R974), King Saud University, Riyadh, Saudi Arabia.Disclosure statementNo potential conflict of interest was reported by the author(s).

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.