Application of the Cauchy theorem to the location of zeros of sectionally analytic functions
type: Item
instance of: scholarly article
title: Application of the Cauchy theorem to the location of zeros of sectionally analytic functions
zbMATH Open document ID: 0554.30017
DOI: 10.1007/BF00952115
author: E. G. Anastasselou
author: N. I. Ioakimidis
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1984-01-01T00:00:00Z
review text: A method for the derivation of closed-form formulas for the zeros of sectionally analytic functions in the complex plane is proposed. This method is based on the Cauchy theorem and the formulae contain only integrals along the discontinuity interval. As an application, the transcendental equation \(w=\tanh (pw+q)\) is solved in closed form.
reviewed by: M.Schleiff
Mathematics Subject Classification ID: 30E20
zbMATH DE Number: 3882705
zbMATH Keywords: zeros of sectionally analytic functions
MaRDI profile type: Publication
cites work: Q5666833
cites work: Exact Analytical Solutions of the Transcendental Equation $\alpha \sin \zeta = \zeta $
cites work: Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
cites work: On double zeros of x-tanh(ax+b)
cites work: Q5535928
full work available at URL: https://doi.org/10.1007/bf00952115
OpenAlex ID: W2089832614
description: scientific article; zbMATH DE number 3882705