Analytic properties of the Jost functions

dc.contributor.advisorSelyshchev, Pavlo
dc.contributor.coadvisorRakitianski, Sergei A.
dc.contributor.emailvondosh7@gmail.comen_US
dc.contributor.postgraduateMvondo-She, Yannick
dc.date.accessioned2014-08-08T10:08:11Z
dc.date.available2014-08-08T10:08:11Z
dc.date.created2014-04-23
dc.date.issued2013en_US
dc.descriptionDissertation (MSc)--University of Pretoria, 2013.en_US
dc.description.abstractRecently, was developed a new theory of the Jost function, within which, it was split in two terms involving on one side, singlevalued analytic functions of the energy, and on the other, factors responsible for the existence of the branching-points. For the single-valued part of the Jost function, a procedure for the powerseries expansion around an arbitrary point on the energy plane was suggested. However, this theory lacks a rigorous proof that these parts are entire functions of the energy. It also gives an intuitive (not rigorous) derivation of the domain where they are entire. In the present study, we ll this gap by using a method derived from the method of successive approximations.en_US
dc.description.availabilityunrestricteden_US
dc.description.departmentPhysicsen_US
dc.description.librariangm2014en_US
dc.identifier.citationMvondo-She, Y 2013, Analytic properties of the Jost functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/41122>en_US
dc.identifier.otherE14/4/351/gmen_US
dc.identifier.urihttp://hdl.handle.net/2263/41122
dc.language.isoenen_US
dc.publisherUniversity of Pretoriaen_ZA
dc.rights© 2013 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.en_US
dc.subjectJost functionen_US
dc.subjectTheoryen_US
dc.subjectBranching-pointsen_US
dc.subjectSingle-valued analytic functionsen_US
dc.subjectUCTDen_US
dc.titleAnalytic properties of the Jost functionsen_US
dc.typeDissertationen_US

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