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Matematicheskie Zametki, 2012, Volume 91, Issue 5, Pages 674–690
DOI: https://doi.org/10.4213/mzm9357 (Mi mzm9357) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On the Growth of Entire Functions with Discretely Measurable Zeros

G. G. Braicheva, V. B. Sherstyukovb

a Moscow State Pedagogical University
b National Engineering Physics Institute "MEPhI", Moscow
Full-text PDF (542 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm9357
Abstract: We solve the problem of the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros in a special class specified by certain conditions on the upper and lower averaged $\rho$-density of zeros.
Keywords: entire function, least type of entire functions, upper (lower) density of zeros of entire functions, averaged upper density of zeros, discretely measurable sequence.
Received: 07.04.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 5, Pages 630–644
DOI: https://doi.org/10.1134/S0001434612050045
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
Language: Russian
Citation: G. G. Braichev, V. B. Sherstyukov, “On the Growth of Entire Functions with Discretely Measurable Zeros”, Mat. Zametki, 91:5 (2012), 674–690; Math. Notes, 91:5 (2012), 630–644
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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