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Polynomial Asymptotics of Entire Functions of Finite Order

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Ukrainian Mathematical Journal Aims and scope

Abstract

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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  1. Lviv University, Lviv

    O. I. Borova & M. V. Zabolots'kyi

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  1. O. I. Borova
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  2. M. V. Zabolots'kyi
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Borova, O.I., Zabolots'kyi, M.V. Polynomial Asymptotics of Entire Functions of Finite Order. Ukrainian Mathematical Journal 55, 873–884 (2003). https://doi.org/10.1023/B:UKMA.0000010590.47798.4f

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  • DOI: https://doi.org/10.1023/B:UKMA.0000010590.47798.4f

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