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
Cavanaugh, C. M., McKiness, Z. P., Newton, I. L. G., & Stewart, F. J. (2006). Marine Chemosynthetic Symbioses. In The Prokaryotes (pp. 475–507). Springer New York. https://doi.org/10.1007/0-387-30741-9_18
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