Volume 20, Issue 4, December 2013, Pages 480 - 494
q-Oscillator Algebra And d-Orthogonal Polynomials
Authors
Fethi Bouzeffour
Department of Mathematics, College of Sciences King Saud University, P. O Box 2455 Riyadh 11451, Saudi Arabia.fbouzaffour@ksu.edu.sa
Ali Zagouhani
Département de Mathématiques, IPEI de Bizerte, Univertsité de Carthage, 7021 Zarzouna, Tunisia.ali.zaghouani@gmail.com
Received 27 February 2013, Accepted 13 August 2013, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2013.868262How to use a DOI?
- Keywords
- Coherent states; Quantum algebra; Basic orthogonal polynomials
- Abstract
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.
- Copyright
- © 2013 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Fethi Bouzeffour AU - Ali Zagouhani PY - 2021 DA - 2021/01/06 TI - q-Oscillator Algebra And d-Orthogonal Polynomials JO - Journal of Nonlinear Mathematical Physics SP - 480 EP - 494 VL - 20 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2013.868262 DO - 10.1080/14029251.2013.868262 ID - Bouzeffour2021 ER -