REGULAR GROWTH OF DIRICHLET SERIES OF THE CLASS 𝐷(Φ) ON CURVES OF BOUNDED 𝐾-SLOPE

We study the asymptotic behavior of the sum of en- tire Dirichlet series with positive exponents on curves of a bounded slope going in a certain way to infinity. For entire transcendental functions of finite order, Polia showed that if the density of the sequence of exponents is equal to zero, t...

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Bibliographic Details
Main Authors: N. N. Aitkuzhina, A. M. Gaisin, R. A. Gaisin
Format: Article
Language:English
Published: Petrozavodsk State University 2023-09-01
Series:Проблемы анализа
Subjects:
Online Access:https://issuesofanalysis.petrsu.ru/article/genpdf.php?id=13830&lang=en