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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 199–215
DOI: https://doi.org/10.4213/mzm8766 (Mi mzm8766) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities

G. G. Braicheva, O. V. Sherstjukovab

a Moscow State Pedagogical University
b National Engineering Physics Institute "MEPhI"
Full-text PDF (521 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm8766
Abstract: For $\rho\in(0;1)$, we obtain the supremum of lower $\rho$-types of entire functions whose sequence of roots has given lower and upper densities for the order $\rho$.
Keywords: entire function, greatest lower type of an entire function, zero distribution density, arithmetic progression.
Received: 10.02.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 189–203
DOI: https://doi.org/10.1134/S0001434611070194
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
Language: Russian
Citation: G. G. Braichev, O. V. Sherstjukova, “The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities”, Mat. Zametki, 90:2 (2011), 199–215; Math. Notes, 90:2 (2011), 189–203
Citation in format AMSBIB
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    • This publication is cited in the following 9 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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