English

Location of Zeros of Holomorphic Functions

General Mathematics 2024-03-19 v1

Abstract

In this article, various results will be demonstrated that enable the delimitation of a zero-free region for holomorphic functions on a set KK, studying the behavior of their imaginary or real part on the boundary of KK. 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.

Keywords

Cite

@article{arxiv.2403.10523,
  title  = {Location of Zeros of Holomorphic Functions},
  author = {Leonardo de Lima},
  journal= {arXiv preprint arXiv:2403.10523},
  year   = {2024}
}