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arXiv · 1612.04038

Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials

Satoshi Tsujimoto·Luc Vinet·Alexei Zhedanov
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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.

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Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov. 2016-12-13. Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials. https://doi.org/10.1088/1751-8121%2Faa6f3a

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