Abstract
It is proved that if the Taylor coefficients of an entire transcendental function change sign sufficiently infrequently, then such a function increases on a positive ray in the same way as in the whole plane.
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Translated from Matematicheskie Zametki, Vol. 14, No. 4, pp. 577–588, October, 1973.
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Pavlov, A.I. The growth on a positive ray of entire functions with real Taylor coefficients. Mathematical Notes of the Academy of Sciences of the USSR 14, 889–895 (1973). https://doi.org/10.1007/BF01108821
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DOI: https://doi.org/10.1007/BF01108821