Orthogonal polynomials and polynomial mappings on the unit circle (Q2781661)

Here the authors obtain some results related with orthogonal polynomials and polynomial mappings on the unit circle. In particular, they analyze a special case of a sequence of orthogonal polynomials on the unit cricle such that the corresponding sequence of reflection parameters is a perturbation of the sequence of reflection parameters of a given sequence of orthogonal polynomials on the unit circle and the associated families of orthogonal polynomials on the real line are related by a quadratic polynomial mapping.NEWLINENEWLINEFor the entire collection see [Zbl 0971.00015].