Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas

Cleonice F. Bracciali, Alagacone Sri Ranga, Anbhu Swaminathan

When a nontrivial measure $\mu$ on the unit circle satisfies the symmetry $d\mu (e^{i(2\pi -\theta )})=-d\mu (e^{i\theta })$ then the associated OPUC, say $S_n$, are all real. In this case, Delsarte a…