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
Integers, Polynomials, and Rings. (2004). Integers, Polynomials, and Rings. Springer-Verlag. https://doi.org/10.1007/b97633
Mendeley helps you to discover research relevant for your work.