Analytic Gaussian functions in the unit disc: probability of zeros absence

In the paper we consider a random analytic function of the form $$f(z,\omega )=\sum\limits_{n=0}^{+\infty}\varepsilon_n(\omega_1)\xi_n(\omega_2)a_nz^n.$$ Here $(\varepsilon_n)$ is a sequence of inde\-pendent Steinhaus random variables, $(\xi_n)$ is a sequence of indepen\-dent standard complex Gaussi...

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Bibliographic Details
Main Authors: A. O. Kuryliak, O. B. Skaskiv
Format: Article
Language:German
Published: Ivan Franko National University of Lviv 2023-03-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/401
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