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Sbornik: Mathematics, 2015, Volume 206, Issue 12, Pages 1771–1796
DOI: https://doi.org/10.1070/SM2015v206n12ABEH004513 (Mi sm8367) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A refinement of Gol'dberg's theorem on estimating the type with respect to a proximate order of an entire function of integer order

F. S. Myshakov, A. Yu. Popov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (572 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM2015v206n12ABEH004513
Abstract: A best possible second term is found in Gol'dberg's theorem on an asymptotic upper estimate for the logarithm of the maximum modulus of an entire function of integer order.
Bibliography: 9 titles.
Keywords: entire function of integer order, type of an entire function with respect to a proximate order, slowly varying function, asymptotic estimate.
Received: 27.03.2014 and 04.06.2015
Russian version:
Matematicheskii Sbornik, 2015, Volume 206, Number 12, Pages 119–144
DOI: https://doi.org/10.4213/sm8367
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
MSC: 30D20
Language: English
Original paper language: Russian
Citation: F. S. Myshakov, A. Yu. Popov, “A refinement of Gol'dberg's theorem on estimating the type with respect to a proximate order of an entire function of integer order”, Mat. Sb., 206:12 (2015), 119–144; Sb. Math., 206:12 (2015), 1771–1796
Citation in format AMSBIB
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  • https://doi.org/10.1070/SM2015v206n12ABEH004513
  • https://www.mathnet.ru/eng/sm/v206/i12/p119
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:526
    Russian version PDF:205
    English version PDF:14
    References:73
    First page:48
     
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