A new method for obtaining exact analytical formulae for the roots of transcendental functions

Anastasselou, EG; Ioakimidis, NI

dc.contributor.author	Anastasselou, EG	en
dc.contributor.author	Ioakimidis, NI	en
dc.date.accessioned	2014-03-01T01:06:14Z
dc.date.available	2014-03-01T01:06:14Z
dc.date.issued	1984	en
dc.identifier.issn	0377-9017	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9247
dc.subject.classification	Physics, Mathematical	en
dc.title	A new method for obtaining exact analytical formulae for the roots of transcendental functions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00406396	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00406396	en
heal.language	English	en
heal.publicationDate	1984	en
heal.abstract	A new method is proposed for the derivation of closed-form formulae for the zeros and poles of sectionally analytic functions in the complex plane. This method makes use of the solution of the simple discontinuity problem in the theory of analytic functions and requires the evaluation of real integrals only (for functions with discontinuity intervals along the real axis). Many transcendental equations of mathematical physics can be successfully solved by the present approach. An application to such an equation, the molecular field equation in the theory of ferromagnetism, is made and the corresponding analytical formulae are reported together with numerical results. © 1984 D. Reidel Publishing Company.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Letters in Mathematical Physics	en
dc.identifier.doi	10.1007/BF00406396	en
dc.identifier.isi	ISI:A1984SN31200008	en
dc.identifier.volume	8	en
dc.identifier.issue	2	en
dc.identifier.spage	135	en
dc.identifier.epage	143	en