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

Published 22 Jul 2022 in math.CV | (2207.11027v1)

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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