Distribution of zeros of exponential-type entire functions with constraints on growth along a line

DOI10.1134/S0001434620090308zbMath1451.30058OpenAlexW3095606154WikidataQ115526132 ScholiaQ115526132MaRDI QIDQ2210417

A. E. Salimova, Bulat N. Khabibullin

Publication date: 6 November 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620090308

zbMATH Keywords

completeness of exponential systemszeros of entire function

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) Special classes of entire functions of one complex variable and growth estimates (30D15) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (3)

Growth of entire functions of exponential type and characteristics of distributions of points along straight line in complex plane ⋮ A version of the Malliavin-Rubel theorem on entire functions of exponential type with zeros near the imaginary axis ⋮ On the type of subharmonic functions of finite order

Cites Work

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• On the growth of the entire functions of exponential type with given zeros along a line
• Entire and meromorphic functions. With assistance from James E. Colliander
• ON THE GROWTH OF ENTIRE FUNCTIONS OF EXPONENTIAL TYPE ALONG THE IMAGINARY AXIS
• Balayage of measures and subharmonic functions to a system of rays. I. The classical case
• On small entire functions of exponential type with given zeros
• Notions of convexity

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