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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)
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
Russian version:
Matematicheskii Sbornik, 2012, Volume 203, Number 7, Pages 31–56
DOI: https://doi.org/10.4213/sm7879
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”, Mat. Sb., 203:7 (2012), 31–56; Sb. Math., 203:7 (2012), 950–975
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:598
    Russian version PDF:198
    English version PDF:17
    References:73
    First page:27
     
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