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JOURNALS // Ufimskii Matematicheskii Zhurnal // Archive

Ufimsk. Mat. Zh., 2012 Volume 4, Issue 1, Pages 161–165 (Mi ufa142)

This article is cited 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

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.

UDC: 517.547.22

Received: 24.12.2011



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