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Sbornik: Mathematics, 2012, Volume 203, Issue 7, Pages 950–975
DOI: https://doi.org/10.1070/SM2012v203n07ABEH004249 (Mi sm7879) 		 
This article is cited in 10 scientific papers (total in 10 papers)

The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities

G. G. Braichev

Moscow State Pedagogical University
English version PDF (396 kB) Citations (10) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2012v203n07ABEH004249
Abstract: The problem of the least type of entire functions of order $\rho\in(0,1)$ all of whose zeros lie on the same ray and have the prescribed upper and lower averaged $\rho$-densities is solved. A complete investigation of the value of the extremal type is carried out, including a description of its asymptotic behaviour.
Bibliography: 14 titles.
Keywords: extremal type of an entire function, upper and lower averaged density of zeros.
Received: 21.04.2011 and 05.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.547.2
MSC: 30D15
Language: English
Original paper language: Russian
Citation: G. G. Braichev, “The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities”, Sb. Math., 203:7 (2012), 950–975
Citation in format AMSBIB
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\paper The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities
\jour Sb. Math.
\yr 2012
\vol 203
\issue 7
\pages 950--975
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  • https://www.mathnet.ru/eng/sm/v203/i7/p31
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:611
    Russian version PDF:200
    English version PDF:20
    References:75
    First page:27
     
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