Zero Asymptotics of Laurent Orthogonal Polynomials Original Research Article

Let {hn(z)} be the sequence of polynomials, satisfying[formula]whereλn∈[0, 2n],n∈N. For a wide class of weightsdρ(x) and under the assumption limn→∞ λn/(2n)=θ∈[0, 1], two descriptions of the zero asymptotics of {hn(z)} are obtained. Furthermore, their analogues for polynomials orthogonal on [−1, 1] with respect to varying weights are considered. These results continue the study begun in [3].