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arXiv · 2201.05246

Asymptotic values of entire functions of infinite order

Aimo Hinkkanen·Joseph Miles
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Abstract

We prove that there exists an entire function for which every complex number is an asymptotic value and whose growth is arbitrarily slow subject only to the necessary condition that the function is of infinite order.

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Aimo Hinkkanen, Joseph Miles. 2022-01-13. Asymptotic values of entire functions of infinite order. https://arxiv.org/abs/2201.05246

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