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arXiv · 2506.21377

Periodicity of Transcendental Entire Functions Sharing Set with their Shifts

Soumon Roy·Ritam Sinha
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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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Soumon Roy, Ritam Sinha. 2025-06-26. Periodicity of Transcendental Entire Functions Sharing Set with their Shifts. https://arxiv.org/abs/2506.21377

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