Product formula for the one-dimensional (k,a)-generalized Fourier kernel

被引：1
|
作者：
Amri, Bechir [1 ,2 ,3 ]
机构：
[1] Taibah Univ, Coll Sci, Dept Math, Al Madinah Al Munawarah, Saudi Arabia
[2] Univ Carthage, Fac Sci Bizerte, Dept Math, Tunis, Tunisia
[3] Taibah Univ, Coll Sci, Dept Math, POB 30002, Al Madinah Al Munawarah, Saudi Arabia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 11期
关键词：
Dunkl kernels; Bessel functions; legendre functions;
D O I：
10.1080/10652469.2023.2221774
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a product formula for the one-dimensional (k, a)- generalized Fourier kernel is given for k > 0, a > 0 and 2k > 1 - a/2, extending the special case of [Boubatra MA, Negzaoui S, Sifi M. A new product formula involving Bessel functions. Integral Transforms Spec Funct. 2022;33:247-263.] when a = n/2, n ? N*.
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页码：849 / 860
页数：12
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