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arXiv · 2207.11027

New findings on the periodicity of entire functions and their differential polynomials

Mohamed Amine Zemirni·Ilpo Laine·Zinelaabidine Latreuch
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Abstract

In this paper, we seek to explore under what conditions the periodicity of an entire function $ f(z) $ follows from the periodicity of a differential polynomial in $ f(z) $. We improve and generalize some earlier results and we give other new findings.

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Mohamed Amine Zemirni, Ilpo Laine, Zinelaabidine Latreuch. 2022-07-22. New findings on the periodicity of entire functions and their differential polynomials. https://arxiv.org/abs/2207.11027

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