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math.CV2021
Relations between growth of entire functions and behavior of its Taylor coefficients
M. R. Formica, E. Ostrovsky, L. Sirota
We derive in the closed and unimprovable form the bilateral non-asymptotic relations between growth of entire functions and decay rate at infinity of its Taylor coefficients. We in…
math.CV2020
Gaussian and non-Gaussian distributed random analytical and entire functions
Maria Rosaria Formica, Eugeny Ostrovsky, Leonid Sirota
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 definiten…