Sharp bounds for the type of an entire function of order less than 1 whose zeros are located on a ray and have given averaged densities

DOI10.1134/S1064562412040394zbMath1260.30014OpenAlexW2031633767MaRDI QIDQ1761080

G. G. Braichev

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562412040394

zbMATH Keywords

entire functionordertypezero density

Mathematics Subject Classification ID

Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

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

Cites Work

• The greatest possible lower type of entire functions of order \(\rho \in (0; 1)\) with zeros of fixed \(\rho \)-densities
• On the least type of an entire function of order \(\rho \) with roots of a given upper \(\rho \)-density lying on one ray
• On the growth of entire functions with discretely measurable zeros
• Zero sequences of holomorphic functions, representation of meromorphic functions. II. Entire functions
• On the least possible type of entire functions of order $ \rho\in(0,1)$ with positive zeros

This page was built for publication: Sharp bounds for the type of an entire function of order less than 1 whose zeros are located on a ray and have given averaged densities