G. G. Braichev, “The exact bounds of lower type magnitude for entire function of order <nobr>$\rho\in(0,1)$</nobr> with zeros of prescribed average densities”, Ufimsk. Mat. Zh., 2015, Volume 7, Issue 4,Pages <nobr>34

This article is cited in 2 papers

The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities

G. G. Braichev

Moscow State Pedagogical University, Moscow, Russia

Abstract: We provide exact two-sided estimates for lower type magnitude of entire functions of order $\rho\in(0,1)$. The zeroes of these functions have prescribed upper and lower average densities and are arbitrarily distributed in the complex plane or on a ray. We analyze the obtained results and compare them them with known facts for entire functions of usual type.

Keywords: type and lower type of an entire function, the upper and lower average densities of the sequence of zeroes.

UDC: 517.521+517.547.22

MSC: 30D15

Received: 22.10.2015