q-Oscillator Algebra And d-Orthogonal Polynomials

被引：0
|
作者：
Fethi Bouzeffour
Ali Zagouhani
机构：
[1] King Saud University,Department of Mathematics, College of Sciences
[2] Univertsité de Carthage,Département de Mathématiques, IPEI de Bizerte
来源：
Journal of Nonlinear Mathematical Physics | 2013年 / 20卷
关键词：
Coherent states; Quantum algebra; Basic orthogonal polynomials; 81R30; 81R60; 33D52;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we express the matrix coefficients of the Fock representation of a q-oscillator algebra in terms of the d-orthogonal Al-Salam Carlitz polynomials. Also, we derive a generating functions, recurrence relations and q-difference equations for these d-orthogonal polynomials.
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页码：480 / 494
页数：14
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