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, 2011, Volume 90, Issue 2,Pages 199

This article is cited 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"

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.

UDC: 517.547.22

Received: 10.02.2010

DOI: 10.4213/mzm8766