A variant of Cauchy's argument principle for analytic functions which applies to curves containing zeroes
Complex Variables
2020-06-24 v1
Abstract
It is known that the Cauchy's argument principle, applied to an holomorphic function , requires that has no zeros on the curve of integration. In this short note, we give a generalization of such a principle which covers the case when has zeros on the curve, as well as an application.
Keywords
Cite
@article{arxiv.2006.12545,
title = {A variant of Cauchy's argument principle for analytic functions which applies to curves containing zeroes},
author = {Maher Boudabra and Greg Markowsky},
journal= {arXiv preprint arXiv:2006.12545},
year = {2020}
}
Comments
5 pages