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Publication . Preprint . Article . 2020

Gaussian and non-Gaussian distributed random analytical and entire functions

Formica, Maria Rosaria; Ostrovsky, Eugeny; Sirota, Leonid;
Open Access
English
Published: 31 Oct 2020
Abstract

We investigate the complex Gaussian as well as non-Gaussian distributed random analytical and entire functions (complex entire random field) and calculate their domain of definiteness (radius of convergence) as well as some important characteristics: order and type. As a consequence we deduce that all the mentioned characteristics, under very natural conditions, are deterministic (non-random) with probability one and we calculate them. Moreover we exhibit some examples to show the exactness of the obtained results.

Subjects

Mathematics - Complex Variables, Complex Variables (math.CV), FOS: Mathematics

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