Sharp estimates of types of entire functions with zeros on rays

DOI10.1134/S0001434615030232zbMath1318.30046OpenAlexW2021929973MaRDI QIDQ2352604

G. G. Braichev

Publication date: 3 July 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615030232

zbMATH Keywords

growth of entire functionsentire function with zeros on rays

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35)

Related Items (5)

On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment ⋮ On the type of subharmonic functions of finite order ⋮ Sharp bounds for asymptotic characteristics of growth of entire functions with zeros on given sets ⋮ The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities ⋮ Asymptotic properties of entire functions with given laws of distribution of zeros

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
• Die Wertverteilung und das Verhalten von Betrag und Argument einer speziellen Klasse analytischer Funktionen. I
• Die Wertverteilung und das Verhalten von Betrag und Argument einer speziellen Klasse analytischer Funktionen. II
• 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
• On Even Entire Functions With Zeros Having a Density
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