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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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 4, pp. 473–481, April, 2014.
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Zabolots’kyi, M.V., Mostova, M.R. Logarithmic Derivative and the Angular Density of Zeros for a Zero-Order Entire Function. Ukr Math J 66, 530–540 (2014). https://doi.org/10.1007/s11253-014-0950-7
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DOI: https://doi.org/10.1007/s11253-014-0950-7