A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Askey-Wilson functions

被引：5

作者：

Bouzeffour, Fethi ^{[1
]}

机构：

[1] Inst Preparatoire Etud Ingn Bizerte, Bizerte, Tunisia

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2007年 / 14卷 / 03期

关键词：

D O I：

10.2991/jnmp.2007.14.3.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Whittaker-Shannon-Kotel'nikov sampling theorem related to the Askey-Wilson functions is proved. Applications to finite continuous Askey-Wilson transform are given.

引用

页码：367 / 380

页数：14

共 17 条

[1] A q-sampling theorem related to the q-Hankel transform
Abreu, LD
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (04) : 1197 - 1203
[2] [Anonymous], CONT MATH
[3] Boas R. P., 1954, PURE APPL MATH, V5
[4] BOUZEFFOUR F, IN PRESS P AM MATH S
[5] Interpolation of entire functions, product formula for basic sine function
Bouzeffour, Fethi
[J]. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 13 (02) : 293 - 301
[6] The Askey-Wilson polynomials and q-Sturm-Liouville problems
Brown, BM
Evans, WD
Ismail, MEH
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1996, 119 : 1 - 16
[7] Gasper G., 1990, Basic Hypergeometric Series
[8] A q-analogue of the Whittaker-Shannon-Kotelnikov sampling theorem
Ismail, ME
Zayed, AI
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (12) : 3711 - 3719
[9] Applications of q-Taylor theorems
Ismail, MEH
Stanton, D
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 153 (1-2) : 259 - 272
[10] Ismail MEH, 2003, J APPROX THEORY, V123, P125, DOI [10.1016/S0021-9045(03)00076-5, 10.1016/S0021-9045-00076-5]

← 1 2 →