Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function

For an entire function of zero order, we establish the relationship between the angular density of zeros, the asymptotics of logarithmic derivative, and the regular growth of its Fourier coefficients.

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Bibliographic Details
Date:2014
Main Authors: Zabolotskii, N. V., Mostova, M. R., Заболоцький, М. В., Мостова, М. Р.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2014
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2149
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:For an entire function of zero order, we establish the relationship between the angular density of zeros, the asymptotics of logarithmic derivative, and the regular growth of its Fourier coefficients.