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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Published in Russian in Matematicheskie Zametki, 2007, Vol. 81, No. 5, pp. 760–765.
The text was submitted by the author in English.
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Simic, S. Some properties of entire functions with nonnegative Taylor coefficients. Math Notes 81, 681–685 (2007). https://doi.org/10.1134/S0001434607050148
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DOI: https://doi.org/10.1134/S0001434607050148