Application of the Cauchy theorem to the location of zeros of sectionally analytic functions

Anastasselou, EG; Ioakimidis, NI

dc.contributor.author	Anastasselou, EG	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:06:15Z
dc.date.available	2014-03-01T01:06:15Z
dc.date.issued	1984	en
dc.identifier.issn	0044-2275	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9259
dc.subject	Analytic Function	en
dc.subject	Boundary Value Problem	en
dc.subject	Complexity Analysis	en
dc.subject.classification	Mathematics, Applied	en
dc.title	Application of the Cauchy theorem to the location of zeros of sectionally analytic functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00952115	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00952115	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	A new method for the derivation of closed-form formulae for the zeros of sectionally analytic functions in the complex plane is proposed. This method is based on the Cauchy theorem in complex analysis (in a generalized form) and it does not require the solution of any boundary value problem along the discontinuity interval. As an application, the classical transcendental equation w=tanh (p w+q), appearing in a physical problem, is solved in closed form. Numerical results are also presented. © 1984 Birkhäuser Verlag.	en
heal.publisher	Birkhäuser-Verlag	en
heal.journalName	ZAMP Zeitschrift für angewandte Mathematik und Physik	en
dc.identifier.doi	10.1007/BF00952115	en
dc.identifier.isi	ISI:A1984TS12300009	en
dc.identifier.volume	35	en
dc.identifier.issue	5	en
dc.identifier.spage	705	en
dc.identifier.epage	711	en