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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.19403 |
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| _version_ | 1866913288536719360 |
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| author | Langley, James |
| author_facet | Langley, James |
| contents | The main result establishes an estimate for the growth of a real meromorphic function $f$ on the unit disc $Δ$ such that: (i) at least one of $f$ and $1/f$ has finitely many poles and non-real zeros in $Δ$; (ii)~$f^{(k)}$ has finitely many non-real zeros in $Δ$, for some $k \geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19403 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-real zeros of derivatives in the unit disc Langley, James Complex Variables 30D35 The main result establishes an estimate for the growth of a real meromorphic function $f$ on the unit disc $Δ$ such that: (i) at least one of $f$ and $1/f$ has finitely many poles and non-real zeros in $Δ$; (ii)~$f^{(k)}$ has finitely many non-real zeros in $Δ$, for some $k \geq 2$. |
| title | Non-real zeros of derivatives in the unit disc |
| topic | Complex Variables 30D35 |
| url | https://arxiv.org/abs/2403.19403 |