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

被引：3

作者：

Bouzeffour, Fethi ^{[1
,3
]}

Jedidi, Wissem ^{[2
]}

机构：

[1] King Saud Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia

[2] King Saud Univ, Dept Stat & OR, Riyadh, Saudi Arabia

[3] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2024年 / 35卷 / 01期

关键词：

Dunkl operator; Dunkl transform; generalized Dunkl translation; fractional derivative;

D O I：

10.1080/10652469.2023.2272026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 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.

引用

页码：49 / 60

页数：12

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