The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type

@article{Baseilhac2019TheHA,
  title={The Heun–Askey–Wilson Algebra and the Heun Operator of Askey–Wilson Type},
  author={Pascal Baseilhac and Satoshi Tsujimoto and Luc Vinet and Alexei S. Zhedanov},
  journal={Annales Henri Poincar{\'e}},
  year={2019}
}
The Heun-Askey-Wilson algebra is introduced through generators $\{\boX,\boW\}$ and relations. These relations can be understood as a, extension of the usual Askey-Wilson ones. A central element is given, and a canonical form of the Heun-Askey-Wilson algebra is presented. A homomorphism from the Heun-Askey-Wilson algebra to the Askey-Wilson one is identified. On the vector space of the polynomials in the variable $x=z+z^{-1}$, the Heun operator of Askey-Wilson type realizing $\boW$ can be… Expand
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