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math.CA2026
An Exploration of Lacunary Orthogonal Polynomials Associated with the Geronimus Transformation
Rachel Bailey, Roman Gavrilov
In this note, we present two perturbations of sequences of orthogonal polynomials related to two iterations of the Geronimus transformation, with the feature that the resulting seq…
math.CA2021
Complex Jacobi matrices generated by Darboux transformations
Rachel Bailey, Maxim Derevyagin
In this paper, we study complex Jacobi matrices obtained by the Christoffel and Geronimus transformations at a nonreal complex number, including the properties of the corresponding…