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Periodicity of Transcendental Entire Functions Sharing Set with their Shifts
Published 26 Jun 2025 in math.CV | (2506.21377v1)
Abstract: This paper aims to study the periodicity of a transcendental entire function of hyper-order less than one. For a transcendental entire function of hyper order less than one and a non-zero complex constant $c$, $\mathfrak{f} (z) \equiv \mathfrak{f} (z + c)$ if they share a certain set with weight two.
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