Distribution of roots of random real generalized polynomials

G. Andrei Mezincescu, Daniel Bessis, Jean-Daniel Fournier +2

The average density of zeros for monic generalized polynomials, $P_n(z)=\varphi (z)+{\sum }_{k=1}^n{c}_k{f}_k(z)$, with real holomorphic $\varphi ,f_k$ and real Gaussian coefficients is expressed in te…