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Some applications of Sturm's comparison theorem
Dissertation (MSc)--University of Pretoria, 2012.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613723134263297 |
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| access_status_str | Open Access |
| author2 | Jordaan, Kerstin Heidrun |
| author_browse | Jordaan, Kerstin Heidrun |
| author_facet | Jordaan, Kerstin Heidrun |
| collection | Thesis |
| dc_rights_str_mv | © 2012 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 C13/4/8/ |
| description | Dissertation (MSc)--University of Pretoria, 2012. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/30793 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:40:40.528Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| 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:2263/30793 Some applications of Sturm's comparison theorem Jordaan, Kerstin Heidrun Du Toit, Lindie UCTD Dissertation (MSc)--University of Pretoria, 2012. We consider several classes of orthogonal polynomials as well as the Bessel function where we study the convexity of zeros of these polynomials, satisfying either differential or real difference equations, by applying Sturm's comparison and convexity theorems as well as analogues of these theorems. In addition several results are obtained concerning the distances between consecutive zeros of some of these classes of polynomials. Further research possibilities concerning q-polynomials and polynomials satisfying complex difference equations are discussed. Mathematics and Applied Mathematics MSc Unrestricted 2013-09-09T07:31:49Z 2013-05-07 2013-09-09T07:31:49Z 2013-04-17 2012 2013-05-03 Dissertation Du Toit, L 2012, Some applications of Sturm's comparison theorem, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/30793> C13/4/8/gm http://hdl.handle.net/2263/30793 http://upetd.up.ac.za/thesis/available/etd-05032013-120612/ © 2012 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 C13/4/8/ application/pdf University of Pretoria |
| spellingShingle | UCTD Some applications of Sturm's comparison theorem |
| title | Some applications of Sturm's comparison theorem |
| title_full | Some applications of Sturm's comparison theorem |
| title_fullStr | Some applications of Sturm's comparison theorem |
| title_full_unstemmed | Some applications of Sturm's comparison theorem |
| title_short | Some applications of Sturm's comparison theorem |
| title_sort | some applications of sturm s comparison theorem |
| topic | UCTD |
| url | http://hdl.handle.net/2263/30793 http://upetd.up.ac.za/thesis/available/etd-05032013-120612/ |