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*.

引用

页码：849 / 860

页数：12

共 50 条

[31] A Traveling Wave Formula in a One-Dimensional Inhomogeneous Medium
A. V. Borovskikh
Differential Equations, 2002, 38 : 796 - 807
[32] A GENERALIZED ONE-DIMENSIONAL KINEMATIC CATCHMENT MODEL
FIELD, WG
WILLIAMS, BJ
JOURNAL OF HYDROLOGY, 1983, 60 (1-4) : 25 - 42
[33] Generalized reflection time for one-dimensional structures
Yin, Cheng
Cao, Zhuangqi
PHYSICAL REVIEW A, 2009, 80 (06):
[34] GENERALIZED ONE-DIMENSIONAL, STEADY, COMPRESSIBLE FLOW
YOUNG, FM
AIAA JOURNAL, 1993, 31 (01) : 204 - 208
[35] ONE-DIMENSIONAL GENERALIZED LAGRANGE MULTIPLIER PROBLEM
GREENBERG, HJ
OPERATIONS RESEARCH, 1977, 25 (02) : 338 - 345
[36] Generalized horseshoes and indecomposability for one-dimensional continua
Ye X.
Ukrainian Mathematical Journal, 1998, 50 (8) : 1192 - 1200
[37] A GENERALIZED FORMULA FOR THE AC ADMITTANCES OF NONDEGENERATE SEMICONDUCTOR-DEVICES WITH ONE-DIMENSIONAL GEOMETRY NEAR EQUILIBRIUM
MIN, HS
SOLID-STATE ELECTRONICS, 1989, 32 (04) : 295 - 298
[38] Annular Layer as a Generalized One-Dimensional Channel
Korsun, A. S.
Fedoseev, V. N.
Pisarevskiy, M. I.
Pisarevskaya, Y. N.
Medgedem, S.
PHYSICS OF ATOMIC NUCLEI, 2021, 84 (09) : 1572 - 1576
[39] Generic fibre product of one-dimensional manifolds
Adamus, J
TOPOLOGY AND ITS APPLICATIONS, 2003, 128 (2-3) : 247 - 255
[40] The embedding of a symmetric product of a one-dimensional compactum
Cauty, Robert
GLASNIK MATEMATICKI, 2009, 44 (01) : 211 - 214

← 1 2 3 4 5 →