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

Hanan Aljubran, Maxim L. Yattselev

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