Location of Zeros of Holomorphic Functions
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911799057580032 |
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| author | de Lima, Leonardo |
| author_facet | de Lima, Leonardo |
| contents | In this article, various results will be demonstrated that enable the delimitation of a zero-free region for holomorphic functions on a set $K$, studying the behavior of their imaginary or real part on the boundary of $K$. These findings contribute to a deeper understanding of the distribution of zeros, shedding light on the intricate nature of holomorphic functions within the specified set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_10523 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Location of Zeros of Holomorphic Functions de Lima, Leonardo General Mathematics 30-XX, 11-XX In this article, various results will be demonstrated that enable the delimitation of a zero-free region for holomorphic functions on a set $K$, studying the behavior of their imaginary or real part on the boundary of $K$. These findings contribute to a deeper understanding of the distribution of zeros, shedding light on the intricate nature of holomorphic functions within the specified set. |
| title | Location of Zeros of Holomorphic Functions |
| topic | General Mathematics 30-XX, 11-XX |
| url | https://arxiv.org/abs/2403.10523 |