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Matematicheskie Zametki, 2016, Volume 100, Issue 3, Pages 363–374
DOI: https://doi.org/10.4213/mzm10360 (Mi mzm10360) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Regular Growth of Various Characteristics of Entire Functions of Order Zero

N. V. Zabolotskii, O. V. Kostjuk

Ivan Franko National University of L'viv
Full-text PDF (504 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10360
Abstract: We study the relationship between the strongly regular growth of an entire function $f$ of order zero, the existence of the angular density of its zeros, the behavior of the Fourier coefficients of the logarithm of $f$, and the regular growth of the logarithm of the modulus and the argument of $f$ in the $L^{p}[0,2\pi]$-metric, $p\ge1$.
Keywords: entire function, angular density, Fourier coefficients, order of a function.
Received: 24.05.2013
Revised: 13.10.2015
English version:
Mathematical Notes, 2016, Volume 100, Issue 3, Pages 380–390
DOI: https://doi.org/10.1134/S0001434616090042
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: N. V. Zabolotskii, O. V. Kostjuk, “Regular Growth of Various Characteristics of Entire Functions of Order Zero”, Mat. Zametki, 100:3 (2016), 363–374; Math. Notes, 100:3 (2016), 380–390
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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