Automorphisms of the q-deformed algebra suq(1, 1) and d-Orthogonal polynomials of q-Meixner type
- https://doi.org/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
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- 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 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 - https://doi.org/10.1080/14029251.2016.1135625 ID - Zaghouani2021 ER -