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On the Regular Behavior of Entire Functions of Zero Order along Curves of Regular Rotation

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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.

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Authors and Affiliations

  1. Ivan Franko National University of Lviv, Lviv, 79000, Ukraine

    N. V. Zabolotskii & V. E. Shvets

  2. Lviv State University of Physical Culture named after Ivan Bobersky, Lviv, 79000, Ukraine

    M. R. Mostova

Authors
  1. N. V. Zabolotskii
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  2. M. R. Mostova
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  3. V. E. Shvets
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Corresponding author

Correspondence to N. V. Zabolotskii.

Additional information

Translated from Matematicheskie Zametki, 2021, Vol. 110, pp. 537–549 https://doi.org/10.4213/mzm12623.

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Zabolotskii, N.V., Mostova, M.R. & Shvets, V.E. On the Regular Behavior of Entire Functions of Zero Order along Curves of Regular Rotation. Math Notes 110, 532–542 (2021). https://doi.org/10.1134/S0001434621090236

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  • DOI: https://doi.org/10.1134/S0001434621090236

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