The sieved Jacobi polynomials are shown to be eigenfunctions of new Dunkl-type differential operators, so they are bispectral.
An algebraic treatment of the Askey biorthogonal polynomials on the unit circle
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A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties to an algebra called the meta-Jacobi algebra $m\mathfrak{J}$.
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Bispectrality of the sieved Jacobi polynomials
The sieved Jacobi polynomials are shown to be eigenfunctions of new Dunkl-type differential operators, so they are bispectral.