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| dc.contributor.advisor | Jordaan, Kerstin Heidrun | |
| dc.contributor.postgraduate | Du Toit, Lindie | en |
| dc.date.accessioned | 2013-09-09T07:31:49Z | |
| dc.date.available | 2013-05-07 | en |
| dc.date.available | 2013-09-09T07:31:49Z | |
| dc.date.created | 2013-04-17 | en |
| dc.date.issued | 2012 | en |
| dc.date.submitted | 2013-05-03 | en |
| dc.description | Dissertation (MSc)--University of Pretoria, 2012. | en |
| dc.description.abstract | 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. | en |
| dc.description.availability | Unrestricted | en |
| dc.description.degree | MSc | |
| dc.description.department | Mathematics and Applied Mathematics | en |
| dc.identifier.citation | 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> | en |
| dc.identifier.other | C13/4/8/gm | en |
| dc.identifier.upetdurl | http://upetd.up.ac.za/thesis/available/etd-05032013-120612/ | en |
| dc.identifier.uri | http://hdl.handle.net/2263/30793 | |
| dc.language.iso | en | |
| dc.publisher | University of Pretoria | en_ZA |
| dc.rights | © 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/ | en |
| dc.subject | UCTD | en |
| dc.title | Some applications of Sturm's comparison theorem | en |
| dc.type | Dissertation | en |
