For entire functions whose zero counting functions are slowly increasing, we establish criteria for the regular growth of their logarithms of moduli and arguments in the metric of L p[0, 2π].
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, No. 7, pp. 885–893, July, 2010.
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Bodnar, O.V., Zabolots’kyi, M.V. Criteria for the regularity of growth of the logarithm of modulus and the argument of an entire function. Ukr Math J 62, 1028–1039 (2010). https://doi.org/10.1007/s11253-010-0411-x
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DOI: https://doi.org/10.1007/s11253-010-0411-x