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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 140–148
DOI: https://doi.org/10.13108/2015-7-4-140 (Mi ufa309) 		 
This article is cited in 4 scientific papers (total in 4 papers)

The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step

O. V. Sherstyukova

Moscow State Pedagogical University, Moscow, Russia
English version PDF (318 kB) Citations (4)
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DOI: https://doi.org/10.13108/2015-7-4-140
Abstract: We consider the problem on the least possible type of entire functions of order $\rho\in(0,1)$, whose zeroes lie on a ray and have prescribed densities and step. We prove the exactness of the estimate obtained previously by the author for the type of these functions. We provide a detailed justification for the construction of the extremal entire function in this problem.
Keywords: type of an entire function, upper, lower densities and step of sequence of zeroes, extremal problem.
Received: 01.10.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 146–154
Bibliographic databases:
Document Type: Article
UDC: 517.547.22
MSC: 30D15
Language: English
Original paper language: Russian
Citation: O. V. Sherstyukova, “The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step”, Ufimsk. Mat. Zh., 7:4 (2015), 146–154; Ufa Math. J., 7:4 (2015), 140–148
Citation in format AMSBIB
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\pages 146--154
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  • https://doi.org/10.13108/2015-7-4-140
  • https://www.mathnet.ru/eng/ufa/v7/i4/p146
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Уфимский математический журнал
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    Abstract page:201
    Russian version PDF:68
    English version PDF:10
    References:75
     
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