On the lower indicator of an entire function with roots of zero lower density lying on a ray

DOI10.1134/S0001434620050211zbMath1442.30029OpenAlexW3046864708MaRDI QIDQ2192160

G. G. Braichev

Publication date: 29 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620050211

zbMATH Keywords

entire functionscompletely regular growthindicator and lower indicatortype and lower typeupper and lower densities of a set of roots

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Entire functions of one complex variable (general theory) (30D20) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (1)

On indicator and type of an entire function with roots lying on a ray

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
• The problem on the minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step
• On the least possible type of entire functions of order $ \rho\in(0,1)$ with positive zeros
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