Sampling theorems associated with biorthogonal q-Bessel functions

被引：8
|
作者：
Annaby, M. H. [1 ]
Mansour, Z. S. [2 ]
Ashour, O. A. [3 ]
机构：
[1] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar
[2] King Saudi Univ, Dept Math, Fac Sci, Riyadh 11451, Saudi Arabia
[3] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 29期
关键词：
TRANSFORM; SERIES; ANALOG; ZEROS;
D O I：
10.1088/1751-8113/43/29/295204
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with the derivation of sampling theorems associated with q-biorthogonal systems. We derive interpolation expansions for q-Hankel transforms whose kernels are the second-type q-Bessel functions J(nu)((2))(z; q), nu > 0, 0 < q < 1. We investigate the eigenvalue problem whose solutions are the q-Bessel functions as well as its adjoint. Special cases and applications involving the associated q-sine function are given. The results are based on the conjecture that a family of q-Bessel functions of the second kind is a Riesz basis. Clues are given to support our claim.
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收藏
页数：15
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