Volume 23, Issue 1, January 2016, Pages 1 - 20
Automorphisms of the q-deformed algebra suq(1, 1) and d-Orthogonal polynomials of q-Meixner type
Institut préparatoire aux études d'ingénieur de Bizerte, 7021 Bierte, Carthage university, Tunisia,firstname.lastname@example.org
Received 23 May 2015, Accepted 31 August 2015, Available Online 6 January 2021.
- 10.1080/14029251.2016.1135625How to use a DOI?
- d-orthogonal polynomials; q-deformed algebra suq(1, 1); q-coherent states; q-hypergeometric functions; q-Meixner polynomials; linear functional vector
Starting from an operator given as a product of q-exponential functions in irreducible representations of the positive discrete series of the q-deformed algebra suq(1, 1), we express the associated matrix elements in terms of d-orthogonal polynomials. An algebraic setting allows to establish some properties : recurrence relation, generating function, lowering operator, explicit expression and d-orthogonality relations of the involved polynomials which are reduced to the orthogonal q-Meixner polynomials when d=1. If q ↑ 1, these polynomials tend to some d-orthogonal polynomials of Meixner type.
- © 2016 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 - Ali Zaghouani PY - 2021 DA - 2021/01/06 TI - Automorphisms of the q-deformed algebra suq(1, 1) and d-Orthogonal polynomials of q-Meixner type JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 20 VL - 23 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2016.1135625 DO - 10.1080/14029251.2016.1135625 ID - Zaghouani2021 ER -