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Sbornik: Mathematics, 2016, Volume 207, Issue 2, Pages 238–266
DOI: https://doi.org/10.1070/SM8365
(Mi sm8365)
 

This article is cited in 2 scientific papers (total in 2 papers)

Sharp estimates for the modulus of a canonical product

S. G. Merzlyakov

Institution of Russian Academy of Sciences Institute of Mathematics with Computer Center, Ufa
References:
Abstract: A well-known bound for a Weierstrass primary factor is significantly improved. New estimates for the modulus of a canonical product are obtained on this basis, which are sharp in fairly broad classes of entire functions.
Bibliography: 2 titles.
Keywords: Weierstrass primary factor, entire functions, canonical product.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00720
This research was carried out with the support of the Russian Foundation for Basic Research (grant no. 14-01-00720).
Received: 25.03.2014 and 13.10.2015
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D20
Language: English
Original paper language: Russian
Citation: S. G. Merzlyakov, “Sharp estimates for the modulus of a canonical product”, Sb. Math., 207:2 (2016), 238–266
Citation in format AMSBIB
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\by S.~G.~Merzlyakov
\paper Sharp estimates for the modulus of a~canonical product
\jour Sb. Math.
\yr 2016
\vol 207
\issue 2
\pages 238--266
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Linking options:
  • https://www.mathnet.ru/eng/sm8365
  • https://doi.org/10.1070/SM8365
  • https://www.mathnet.ru/eng/sm/v207/i2/p93
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник Sbornik: Mathematics
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    Abstract page:574
    Russian version PDF:76
    English version PDF:16
    References:84
    First page:61
     
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