Zeros of random linear combinations of OPUC with complex Gaussian coefficients

Aaron M. Yeager

We study zero distribution of random linear combinations of the form $$P_n(z)=\sum _{j=0}^n{\eta }_j{\varphi }_j(z),$$ in any Jordan region $\Omega \subset \mathbb{C}$. The basis functions ${\varphi }_j$ are orth…