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Some properties of entire functions with nonnegative Taylor coefficients
Authors:S Simic
Institution:1. Mathematical Institute, Serbian Academy of Sciences, Belgrade, Serbia
Abstract:If f is an entire function of arbitrary finite order and with nonnegative Taylor coefficients, then we prove that its restriction to the positive part of the real axis belongs to de Haan’s class Γ. We also show that f/f′ is a Beurling slowly varying function.
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