Periodicity of Transcendental Entire Functions Sharing Set with their Shifts
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908423921074176 |
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| author | Roy, Soumon Sinha, Ritam |
| author_facet | Roy, Soumon Sinha, Ritam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21377 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Periodicity of Transcendental Entire Functions Sharing Set with their Shifts Roy, Soumon Sinha, Ritam Complex Variables 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. |
| title | Periodicity of Transcendental Entire Functions Sharing Set with their Shifts |
| topic | Complex Variables |
| url | https://arxiv.org/abs/2506.21377 |