Directional logarithmic derivative and the distribution of zeros of an entire function of bounded $L$-index in the direction

We establish new criteria of boundedness of the $L$-index in the direction for entire functions in $C^n$. These criteria are formulated as estimate of the maximum modulus via the minimum modulus on a circle and describe the distribution of their zeros and the behavior of the directional logarithmic...

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Bibliographic Details
Date:2017
Main Authors: Bandura, A. І., Skaskiv, O. B., Бандура, А. І., Скасків, О. Б.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2017
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1706
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal