Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909147142815744 |
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| author | Quang, Si Duc |
| author_facet | Quang, Si Duc |
| contents | This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc $Δ(R_0)\subset\mathbb C$ with finite growth index and small functions, where the counting functions are truncated to level $1$ and the small term is more detailed estimated. The second is to prove a generalization and improvement of the five values theorem of Nevanlinna for the case of five small functions on the complex disc $Δ(R_0)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_15491 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc Quang, Si Duc Complex Variables 30D35, 32H30, 32A22 This paper has twofold. The first is to establish a second main theorem for meromorphic functions on the complex disc $Δ(R_0)\subset\mathbb C$ with finite growth index and small functions, where the counting functions are truncated to level $1$ and the small term is more detailed estimated. The second is to prove a generalization and improvement of the five values theorem of Nevanlinna for the case of five small functions on the complex disc $Δ(R_0)$. |
| title | Second main theorem and uniqueness problem of meromorphic functions with finite growth index sharing five small functions on a complex disc |
| topic | Complex Variables 30D35, 32H30, 32A22 |
| url | https://arxiv.org/abs/2205.15491 |