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math.CA2025
Eigenvalue equations for sieved polynomials or proving Askey right again
Luc Vinet, Alexei Zhedanov
The sieved Jacobi polynomials have been introduced by Askey. These can be obtained from conveniently taking to be a root of unity in the Askey-Wilson polynomials. The question…
math.CA2025
Bispectrality of the sieved Jacobi polynomials
Luc Vinet, Alexei Zhedanov
It is shown that the CMV Laurent polynomials associated to the sieved Jacobi polynomials on the unit circle satisfy an eigenvalue equation with respect to a first order differentia…