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Matematicheskie Zametki, 2007, Volume 82, Issue 4, Pages 621–630
DOI: https://doi.org/10.4213/mzm3816 (Mi mzm3816) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Regularity of Growth of Canonical Products with Real Zeros

V. B. Sherstyukov

Moscow Engineering Physics Institute (State University)
Full-text PDF (453 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm3816
Abstract: We obtain a criterion for totally regular growth of canonical products with real symmetric zeros, which involves a generalization of the notion of condensation index of a sequence of positive numbers of a finite upper density.
Keywords: canonical product, Weierstrass product, condensation index, upper density, function of exponential type, function of totally regular growth.
Received: 15.03.2006
Revised: 19.02.2007
English version:
Mathematical Notes, 2007, Volume 82, Issue 4, Pages 555–563
DOI: https://doi.org/10.1134/S0001434607090325
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. B. Sherstyukov, “On the Regularity of Growth of Canonical Products with Real Zeros”, Mat. Zametki, 82:4 (2007), 621–630; Math. Notes, 82:4 (2007), 555–563
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm3816
  • https://doi.org/10.4213/mzm3816
  • https://www.mathnet.ru/eng/mzm/v82/i4/p621
    • This publication is cited in the following 3 articles:
    1. V. B. Sherstyukov, “Asymptotic properties of entire functions with given laws of distribution of zeros”, J. Math. Sci. (N. Y.), 257:2 (2021), 246–272  mathnet  crossref  mathscinet
    2. K. G. Malyutin, “Interpolation Problems of A. F. Leontiev Type”, J. Math. Sci. (N. Y.), 252:3 (2021), 399–419  mathnet  crossref  mathscinet
    3. V. B. Sherstyukov, “Distribution of the zeros of canonical products and weighted condensation index”, Sb. Math., 206:9 (2015), 1299–1339  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:58
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