Sieved Jacobi polynomials are eigenfunctions of an explicit Dunkl-type operator with cyclic reflections, confirming Askey's conjecture and establishing their bispectrality.
On sieved orthogonal polynomials
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Eigenvalue equations for sieved polynomials or proving Askey right again
Sieved Jacobi polynomials are eigenfunctions of an explicit Dunkl-type operator with cyclic reflections, confirming Askey's conjecture and establishing their bispectrality.