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Analytic properties of the Jost functions
Dissertation (MSc)--University of Pretoria, 2013.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2014
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| _version_ | 1867613471413108736 |
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| access_status_str | Open Access |
| author2 | Selyshchev, Pavlo |
| author_browse | Selyshchev, Pavlo |
| author_facet | Selyshchev, Pavlo |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc)--University of Pretoria, 2013. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/41122 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:40.309Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/41122 Analytic properties of the Jost functions Selyshchev, Pavlo vondosh7@gmail.com Rakitianski, Sergei A. Mvondo-She, Yannick Jost function Theory Branching-points Single-valued analytic functions UCTD Dissertation (MSc)--University of Pretoria, 2013. Recently, 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. gm2014 Physics unrestricted 2014-08-08T10:08:11Z 2014-08-08T10:08:11Z 2014-04-23 2013 Dissertation Mvondo-She, Y 2013, Analytic properties of the Jost functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/41122> E14/4/351/gm http://hdl.handle.net/2263/41122 en © 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. application/pdf University of Pretoria |
| spellingShingle | Jost function Theory Branching-points Single-valued analytic functions UCTD Analytic properties of the Jost functions |
| title | Analytic properties of the Jost functions |
| title_full | Analytic properties of the Jost functions |
| title_fullStr | Analytic properties of the Jost functions |
| title_full_unstemmed | Analytic properties of the Jost functions |
| title_short | Analytic properties of the Jost functions |
| title_sort | analytic properties of the jost functions |
| topic | Jost function Theory Branching-points Single-valued analytic functions UCTD |
| url | http://hdl.handle.net/2263/41122 |