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arXiv · 2506.12763

Growth of entire functions: from frequent hypercyclicity to hypercyclicity for the differentiation operator

Augustin Mouze
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Abstract

We study the rate of growth of entire functions that are frequently hypercyclic with respect to some upper weighted densities for the differentiation operator. The statements obtained show the link between the minimal growth of frequently hypercyclic entire functions and that of hypercyclic entire functions. The results are optimal.

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Augustin Mouze. 2025-06-15. Growth of entire functions: from frequent hypercyclicity to hypercyclicity for the differentiation operator. https://arxiv.org/abs/2506.12763

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