Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials
Mathematical Physics
2017-05-24 v1 math.MP
Abstract
A construction is given of the most general representations of the q-oscillator algebra where both generators are tridiagonal. It is shown to be connected to the Askey-Wilson polynomials.
Keywords
Cite
@article{arxiv.1612.04038,
title = {Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials},
author = {Satoshi Tsujimoto and Luc Vinet and Alexei Zhedanov},
journal= {arXiv preprint arXiv:1612.04038},
year = {2017}
}