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
Shingareva, I., & Lizárraga-Celaya, C. (2011). Solving Nonlinear Partial Differential Equations with Maple and Mathematica. Solving Nonlinear Partial Differential Equations with Maple and Mathematica. Springer Vienna. https://doi.org/10.1007/978-3-7091-0517-7
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