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This article is cited in 7 scientific papers (total in 7 papers)
The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities
G. G. Braicheva, O. V. Sherstjukovab
a Moscow State Pedagogical University
b National Engineering Physics Institute "MEPhI"
Abstract:
For $\rho\in(0;1)$, we obtain the supremum of lower $\rho$-types of entire functions whose sequence of roots has given lower and upper densities for the order $\rho$.
Keywords:
entire function, greatest lower type of an entire function, zero distribution density, arithmetic progression
DOI:
https://doi.org/10.4213/mzm8766
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English version:
Mathematical Notes, 2011, 90:2, 189–203
Bibliographic databases:
  
UDC:
517.547.22
Received: 10.02.2010
Citation:
G. G. Braichev, O. V. Sherstjukova, “The Greatest Possible Lower Type of Entire Functions of Order $\rho\in(0;1)$ with Zeros of Fixed $\rho$-Densities”, Mat. Zametki, 90:2 (2011), 199–215; Math. Notes, 90:2 (2011), 189–203
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/mz8766https://doi.org/10.4213/mzm8766 http://mi.mathnet.ru/eng/mz/v90/i2/p199
Citing articles on Google Scholar:
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Russian articles,
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This publication is cited in the following articles:
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G. G. Braichev, “The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities”, Sb. Math., 203:7 (2012), 950–975
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Braichev G.G., “Sharp bounds for the type of an entire function of order less than 1 whose zeros are located on a ray and have given averaged densities”, Dokl. Math., 86:1 (2012), 559–561
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G. G. Braichev, “Sharp Estimates of Types of Entire Functions with Zeros on Rays”, Math. Notes, 97:4 (2015), 510–520
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O. V. Sherstyukova, “O naimenshem tipe tselykh funktsii poryadka $\rho\in(0,1)$ s nulyami na luche”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 15:4 (2015), 433–441
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G. G. Braichev, “The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities”, Ufa Math. J., 7:4 (2015), 32–57
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G. G. Braichev, V. B. Sherstyukov, “Tochnye otsenki asimptoticheskikh kharakteristik rosta tselykh funktsii s nulyami na zadannykh mnozhestvakh”, Fundament. i prikl. matem., 22:1 (2018), 51–97
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V. B. Sherstyukov, “Asimptoticheskie svoistva tselykh funktsii s zadannym zakonom raspredeleniya kornei”, Kompleksnyi analiz. Tselye funktsii i ikh primeneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 161, VINITI RAN, M., 2019, 104–129
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