Zeros of Complex Random Polynomials Spanned by Bergman Polynomials

Marianela Landi, Kayla Johnson, Garrett Moseley +1

We study the expected number of zeros of $$P_n(z)=\sum _{k=0}^n{\eta }_k{p}_k(z),$$ where $\{{\eta }_k\}$ are complex-valued i.i.d standard Gaussian random variables, and $\{p_k(z)\}$ are polynom…