Polynomial Asymptotics of Entire Functions of Finite Order

We obtain new asymptotic relations for entire functions of finite order with zeros on a ray under the condition of regular growth for the counting function of their zeros. These relations improve the well-known results of Valiron.

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Bibliographic Details
Date:2003
Main Authors: Borova, O. I., Zabolotskii, N. V., Боровая, О. И., Заболоцкий, М. В.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3948
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal