G. G. Braichev, V. B. Sherstyukov, “On the Growth of Entire Functions with Discretely Measurable Zeros”, Mat. Zametki, 2012, Volume 91, Issue 5,Pages <nobr>674

This article is cited in 8 papers

On the Growth of Entire Functions with Discretely Measurable Zeros

G. G. Braichev^a, V. B. Sherstyukov^b

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

Abstract: We solve the problem of the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros in a special class specified by certain conditions on the upper and lower averaged $\rho$-density of zeros.

Keywords: entire function, least type of entire functions, upper (lower) density of zeros of entire functions, averaged upper density of zeros, discretely measurable sequence.

UDC: 517.547.22

Received: 07.04.2011

DOI: 10.4213/mzm9357