Abstract
Recently, in a publication of the supervisor of this project, it was established that a sequence of orthogonal polynomials on the unit circle can be characterized by a pair of real sequences $\{c_n\}_{n \geq 1}$ and $\{d_{n}\}_{n \geq 1}$, where the second sequence is also a positive chain sequence. This opened up a new line of investigation of the properties and applications of the assoc…