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

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Matematicheskie Zametki, 2011, Volume 90, Issue 2, Pages 199–215
DOI: https://doi.org/10.4213/mzm8766 (Mi mzm8766)

This article is cited in 8 scientific papers (total in 8 papers)

The Greatest Possible Lower Type of Entire Functions of Order

$\rho\in(0;1)$ with Zeros of Fixed

$\rho$ -Densities

G. G. Braichev^a, O. V. Sherstjukova^b

^a Moscow State Pedagogical University
^b National Engineering Physics Institute "MEPhI"

Full-text PDF (521 kB) Citations (8)

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DOI: https://doi.org/10.4213/mzm8766

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.

Received: 10.02.2010

English version:
Mathematical Notes, 2011, Volume 90, Issue 2, Pages 189–203
DOI: https://doi.org/10.1134/S0001434611070194

Bibliographic databases:

Document Type: Article

UDC: 517.547.22

Language: Russian

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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\jour Math. Notes

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Linking options:

https://www.mathnet.ru/eng/mzm8766

https://doi.org/10.4213/mzm8766

https://www.mathnet.ru/eng/mzm/v90/i2/p199

This publication is cited in the following 8 articles:

G. G. Braichev, “On the Lower Indicator of an Entire Function with Roots of Zero Lower Density Lying on a Ray”, Math. Notes, 107:6 (2020), 907–919
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
G. G. Braichev, V. B. Sherstyukov, “Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets”, J. Math. Sci., 250:3 (2020), 419–453
G. G. Braichev, “Sharp Estimates of Types of Entire Functions with Zeros on Rays”, Math. Notes, 97:4 (2015), 510–520
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
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
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
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

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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References:	77
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