Levy’s phenomenon for analytic functions in $\mathbb{D}\times\mathbb{C}$ |
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Author |
kurylyak88@gmail.com, olskask@gmail.com, 12lvan.n@ukr.net
Ivan Franko National University of Lviv
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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.
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Keywords |
maximum modulus; maximal term; double power series; Wiman’s type inequality; random analytic
function
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DOI |
doi:10.15330/ms.46.2.121-129
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Reference |
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Pages |
121-129
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Volume |
46
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Issue |
2
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Year |
2016
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Journal |
Matematychni Studii
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Full text of paper | |
Table of content of issue |