We study a family of "classical" orthogonal polynomials which satisfy (apart from a 3-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl-type. These polynomials can be obtained from the little $q$-Jacobi polynomials in the limit $q=-1$. We also show that these polynomials provide a nontrivial realization of the Askey-Wilson algebra for $q=-1$.
CITATION STYLE
Bruzzo, U. (1988). Supermanifolds, Supermanifold Cohomology, and Super Vector Bundles. In Differential Geometrical Methods in Theoretical Physics (pp. 417–440). Springer Netherlands. https://doi.org/10.1007/978-94-015-7809-7_24
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