O. V. Sherstyukova, “On extremal type of an entire function of order less than unity with zeros of prescribed densities and step”, Ufa Math. J., 4:1 (2012)

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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 1, Pages 161–165 (Mi ufa142)

This article is cited in 5 scientific papers (total in 5 papers)

On extremal type of an entire function of order less than unity with zeros of prescribed densities and step

O. V. Sherstyukova

National Engineering Physics Institute "MEPhI", Moscow, Russia

Full-text PDF (313 kB) Citations (5)

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Abstract: Sharp lower estimate for the type of an entire function of the order

$\rho\in(0;1)$ with respect to densities and step of its zeros located on the ray is proved.

Keywords: type of an entire function, the upper, lower densities and step of zeros.

Received: 24.12.2011

Document Type: Article

UDC: 517.547.22

Language: Russian

Citation: O. V. Sherstyukova, “On extremal type of an entire function of order less than unity with zeros of prescribed densities and step”, Ufa Math. J., 4:1 (2012)

Citation in format AMSBIB

\Bibitem{She12}

\by O.~V.~Sherstyukova

\paper On extremal type of an entire function of order less than unity with zeros of prescribed densities and step

\jour Ufa Math. J.

\yr 2012

\vol 4

\issue 1

\mathnet{http://mi.mathnet.ru/eng/ufa142}

Linking options:

https://www.mathnet.ru/eng/ufa142

https://www.mathnet.ru/eng/ufa/v4/i1/p161

This publication is cited in the following 5 articles:

G. G. Braichev, O. V. Sherstyukova, “On least type of entire function with given subsequence of zeros”, Ufa Math. J., 14:3 (2022), 17–21
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
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
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”, Ufa Math. J., 7:4 (2015), 140–148

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

Statistics & downloads:
Abstract page:	296
Full-text PDF :	109
References:	77
First page:	2

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