- October 2014
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- Sieved orthogonal polynomials on the unit circle were introduced independently by Ismail and Li (1992)  and Marcellán and Sansigre (1991) . We look at the para-orthogonal polynomials, chain sequences and quadrature formulas that follow from the kernel polynomials of sieved orthogonal polynomials on the unit circle.
- chain sequences; para-orthogonal polynomials; sieved orthogonal polynomials on the unit circle; chains; orthogonal polynomials on the unit circle; para-orthogonal polynomials; quadrature formula; unit circles; orthogonal functions