No abstract

No abstract

Let {z n } be a sequence in the unit disk {z ∈ C : |z| < 1}. It is known that there exists a unique positive Borel measure on the unit circle such that their orthogonal polynomials {Φ n } satisfy Φ n (z n ) = 0 for each n = 1, 2, . . . . Characteristics of the orthogonality measure and asymptotic properties of the orthogonal polynomials are given in terms of the asymptotic behavior of the sequence {z n }. Particular attention is paid to periodic sequences of zeros {z n } with periods two and three.

No abstract

No abstract