Hanan Aljubran

collaborators

2 papers

math.PR2020

An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials

Hanan Aljubran, Maxim L. Yattselev

Let ${φ_{i} (z; α)}_{i = 0}^{\infty}$ , corresponding to $α \in (- 1, 1)$ , be orthonormal Geronimus polynomials. We study asymptotic behavior of the expected number of real zeros, say $ \…

math.CA2018

An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC

Hanan Aljubran, Maxim L. Yattselev

Let ${φ_{i}}_{i = 0}^{\infty}$ be a sequence of orthonormal polynomials on the unit circle with respect to a positive Borel measure $μ$ that is symmetric with respect to conjugation…