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arXiv · 2011.00222

Gaussian and non-Gaussian distributed random analytical and entire functions

Maria Rosaria Formica·Eugeny Ostrovsky·Leonid Sirota
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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.

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Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota. 2020-10-31. Gaussian and non-Gaussian distributed random analytical and entire functions. https://arxiv.org/abs/2011.00222

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