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arXiv · 2403.10523

Location of Zeros of Holomorphic Functions

Leonardo de Lima
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Abstract

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.

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Leonardo de Lima. 2024-01-01. Location of Zeros of Holomorphic Functions. https://arxiv.org/abs/2403.10523

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