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Sufficient Conditions for the Existence of the \( \upsilon \)-Density of Zeros for an Entire Function of Order Zero

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Ukrainian Mathematical Journal Aims and scope

We select subclasses of zero-order entire functions f for which we present sufficient conditions for the existence of the \( \upsilon \) -density of zeros of f in terms of the asymptotic behavior of the logarithmic derivative F and regular growth of the Fourier coefficients of F.

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Authors and Affiliations

  1. Franko Lviv National University, Lviv, Ukraine

    M. V. Zabolots’kyi & M. R. Mostova

Authors
  1. M. V. Zabolots’kyi
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  2. M. R. Mostova
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 506–516, April, 2016.

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Zabolots’kyi, M.V., Mostova, M.R. Sufficient Conditions for the Existence of the \( \upsilon \)-Density of Zeros for an Entire Function of Order Zero. Ukr Math J 68, 570–582 (2016). https://doi.org/10.1007/s11253-016-1242-1

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  • DOI: https://doi.org/10.1007/s11253-016-1242-1

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