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

N. V. Zabolotskii^a, M. R. Mostova^b, V. E. Shvets<sup>a

a</sup> Ivan Franko National University of L'viv
^b Lviv State University of Physical Culture

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.

UDC: 517.53

Received: 28.11.2019
Revised: 26.03.2021

DOI: 10.4213/mzm12623

 English version: Mathematical Notes, 2021, 110:4, 532–542

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