A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions

Anastasselou, EG; Ioakimidis, NI

dc.contributor.author	Anastasselou, EG	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:06:22Z
dc.date.available	2014-03-01T01:06:22Z
dc.date.issued	1985	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9333
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0022151604&partnerID=40&md5=c8d61dc34d6c767f4ca4da3f0e9c2342	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	MEROMORPHIC FUNCTIONS	en
dc.subject.other	ROOTS OF POLYNOMIAL	en
dc.subject.other	SECTIONALLY ANALYTIC FUNCTIONS	en
dc.subject.other	MATHEMATICAL TECHNIQUES	en
dc.title	A new approach to the derivation of exact analytical formulae for the zeros of sectionally analytic functions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	A new method for the analytical determination of zeros of sectionally analytic functions in the cut complex plane (or of poles of sectionally meromorphic functions), based only on the first Plemelj formula, is proposed. This method, like the analogous earlier methods of Burniston and Siewert and of the senior author, leads to the determination of these zeros (or poles) as the roots of a polynomial. The coefficients of this polynomial contain regular integrals along the discontinuity interval, which can be computed by appropriate (usually Gaussian) quadrature rules. The advantage of the present approach over the existing ones is its simplicity as a concept and ease during the application to particular sectionally analytic (or meromorphic) functions. © 1985.	en
heal.publisher	ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.isi	ISI:A1985AVP2100006	en
dc.identifier.volume	112	en
dc.identifier.issue	1	en
dc.identifier.spage	104	en
dc.identifier.epage	109	en