A. Kuryliak

activity

20122017

most citedOn the abscissas of convergence of Dirichlet series

1 citations · 2 across the 4 of their papers we have counts for

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math.CV2017★ 1 cited

On the abscissas of convergence of Dirichlet series

A. O. Kuryliak, O. B. Skaskiv, N. Yu. Stasiv

For the Dirichlet series of the form $F (z, ω) = \sum_{k = 0}^{+ \infty} f_{k} (ω) e^{z λ_{k} (ω)}$ $(z \in C,$ $ω \in Ω)$ with pairwise independent real exponents $…

math.CV2016

Levy's phenomenon for analytic functions in the polydisc

A. O. Kuryliak, O. B. Skaskiv, S. R. Skaskiv

In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the polydisc $\mathbb{D}^p=\{z\in\mathbb{C}^p\colon |z_j|<1, j\in\{1,\ldots,p\}\},\…

math.CV2014

Zeros distribution of gaussian entire functions

A. O. Kuryliak, O. B. Skaskiv

In this paper we consider a random entire function of the form $f (z, ω) = \sum_{n = 0}^{+ \infty} ξ_{n} (ω) a_{n} z^{n},$ where $ξ_{n} (ω)$ are independent standard\break complex gaussian ra…

math.CV2012★ 1 cited

Baire categories and classes of analytic functions in which the Wiman-Valiron type inequality can be almost surely improved

A. O. Kuryliak, O. B. Skaskiv, I. E. Chyzhykov

Let $f (z) = \sum_{n = 0}^{+ \infty} a_{n} z^{n}$ \ $(z \in C)$ \ be an analytic function in the unit disk and $f_{t}$ be an analytic function of the form $f_t(z)=\sum_{n=0}^{+\infty} a_ne…