Levy’s phenomenon for analytic functions in $\mathbb{D}\times\mathbb{C}$

Author
A. Kuryliak, O. Skaskiv, V. Tsvihun
Ivan Franko National University of Lviv
Abstract
In this paper we prove some analogue of Wiman's type inequality for random analytic functions in the domain $\mathbb{T}=\mathbb{D}\times\mathbb{C}=\{ z\in \mathbb{C}^2 \colon |z_1|<1, |z_2|<+\infty \}$. The obtained inequality is sharp.
Keywords
maximum modulus; maximal term; double power series; Wiman’s type inequality; random analytic function
DOI
doi:10.15330/ms.46.2.121-129
Reference
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Pages
121-129
Volume
46
Issue
2
Year
2016
Journal
Matematychni Studii
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