A variant of cauchy's argument principle for analytic functions which applies to curves containing zeros

M. Boudabra; G. Markowsky

doi:10.1017/S0004972720001458

A variant of cauchy's argument principle for analytic functions which applies to curves containing zeros

M. Boudabra, G. Markowsky

School of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

Abstract

The standard version of Cauchy's argument principle, applied to a holomorphic function f, requires that f has no zeros on the curve of integration. In this note, we give a generalisation of such a principle which covers the case when f has zeros on the curve, as well as an application.

Original language	English
Pages (from-to)	486-492
Number of pages	7
Journal	Bulletin of the Australian Mathematical Society
Volume	103
Issue number	3
DOIs	https://doi.org/10.1017/S0004972720001458
Publication status	Published - Jun 2021

Keywords

2020 Mathematics subject classification
30E20

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10.1017/S0004972720001458Licence: Unspecified

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A variant of cauchy's argument principle for analytic functions which applies to curves containing zeros

Abstract

Keywords

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