Zeros distribution of gaussian entire functions

A. O. Kuryliak, O. B. Skaskiv

In this paper we consider a random entire function of the form $f(z,\omega )={\sum }_{n=0}^{+\infty }{\xi }_n(\omega )a_n{z}^n,$ where ${\xi }_n(\omega )$ are independent standard\break complex gaussian ra…