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Sbornik: Mathematics, 2016, Volume 207, Issue 2, Pages 191–225
DOI: https://doi.org/10.1070/SM8483 (Mi sm8483) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector

G. G. Braichev

Moscow State Pedagogical University
English version PDF (619 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM8483
Abstract: We consider the problem of the least possible type of entire functions whose zeros have fixed upper and lower averaged densities and lie in a given set. In particular, we solve this problem in several important cases: 1) all zeros lie in a sector, 2) all zeros lie between two straight lines; 3) all zeros lie on rays subdividing the complex plane into equal sectors.
Bibliography: 15 titles.
Keywords: type of an entire function, upper and lower averaged densities of zeros.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00281
The work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00281).
Received: 01.02.2015 and 07.08.2015
Russian version:
Matematicheskii Sbornik, 2016, Volume 207, Number 2, Pages 45–80
DOI: https://doi.org/10.4213/sm8483
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
MSC: Primary 30D15; Secondary 30D10
Language: English
Original paper language: Russian
Citation: G. G. Braichev, “The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector”, Mat. Sb., 207:2 (2016), 45–80; Sb. Math., 207:2 (2016), 191–225
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:86
    First page:48
     
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