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Matematicheskie Zametki, 2021, Volume 110, Issue 4, Pages 537–549
DOI: https://doi.org/10.4213/mzm12623 (Mi mzm12623) 		 
On the Regular Behavior of Entire Functions of Zero Order along Curves of Regular Rotation

N. V. Zabolotskiia, M. R. Mostovab, V. E. Shvetsa

a Ivan Franko National University of L'viv
b Lviv State University of Physical Culture
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DOI: https://doi.org/10.4213/mzm12623
Abstract: We study the relationship between the existence of an $\upsilon$-density $\Delta^\gamma (\alpha,\beta)$ of roots along the curves of regular rotation of an entire function of zero order and the regular behavior at infinity of its logarithm.
Keywords: entire function, zero order, curve of regular rotation, logarithm, density of roots.
Received: 28.11.2019
Revised: 26.03.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 4, Pages 532–542
DOI: https://doi.org/10.1134/S0001434621090236
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: N. V. Zabolotskii, M. R. Mostova, V. E. Shvets, “On the Regular Behavior of Entire Functions of Zero Order along Curves of Regular Rotation”, Mat. Zametki, 110:4 (2021), 537–549; Math. Notes, 110:4 (2021), 532–542
Citation in format AMSBIB
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