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Sbornik: Mathematics, 2013, Volume 204, Issue 5, Pages 683–725
DOI: https://doi.org/10.1070/SM2013v204n05ABEH004317 (Mi sm8122) 		 
This article is cited in 6 scientific papers (total in 6 papers)

The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros

A. Yu. Popov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (525 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/SM2013v204n05ABEH004317
Abstract: Asymptotically sharp estimates for the logarithm of the maximum modulus of a canonical product are obtained in the case when the counting function of zeros has a prescribed majorant, while the arguments of the zeros can be arbitrary.
Bibliography: 9 titles.
Keywords: entire function of finite order, proximate order, canonical product, maximum modulus of an entire function.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 8209
Received: 29.03.2012
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 30D15
Language: English
Original paper language: Russian
Citation: A. Yu. Popov, “The most rapid possible growth of the maximum modulus of a canonical product of noninteger order with a prescribed majorant of the counting function of zeros”, Sb. Math., 204:5 (2013), 683–725
Citation in format AMSBIB
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\by A.~Yu.~Popov
\paper The most rapid possible growth of the maximum modulus of a~canonical product of noninteger order with a~prescribed majorant of the counting function of zeros
\jour Sb. Math.
\yr 2013
\vol 204
\issue 5
\pages 683--725
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  • https://doi.org/10.1070/SM2013v204n05ABEH004317
  • https://www.mathnet.ru/eng/sm/v204/i5/p67
    • This publication is cited in the following 6 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:598
    Russian version PDF:207
    English version PDF:20
    References:80
    First page:41
     
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