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| dc.contributor.author | Driver, Kathy (Cathryn Helena Stanford)
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| dc.contributor.author | Jordaan, Kerstin Heidrun
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| dc.date.accessioned | 2013-04-16T11:12:51Z | |
| dc.date.available | 2014-01-31T00:20:04Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | Let {pn}1 n=0 be a sequence of orthogonal polynomials. We briefly review properties of pn that have been used to derive upper and lower bounds for the largest and smallest zero of pn. Bounds for the extreme zeros of Laguerre, Jacobi and Gegenbauer polynomials that have been obtained using different approaches are numerically compared and new bounds for extreme zeros of q-Laguerre and little q-Jacobi polynomials are proved. | en_US |
| dc.description.librarian | am2013 | en_US |
| dc.description.sponsorship | The National Research Foundation of South Africa. | en_US |
| dc.description.uri | http://www.mmnp-journal.org | en_US |
| dc.identifier.citation | Driver, K & Jordaan, K 2013, 'Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials', Mathematical Modelling of Natural Phenomena, vol. 8, no. 1, pp. 48-59. | en_US |
| dc.identifier.issn | 0973-5348 (print) | |
| dc.identifier.issn | 1760-6101 (online) | |
| dc.identifier.other | 10.1051/mmnp/20138103 | |
| dc.identifier.uri | http://hdl.handle.net/2263/21288 | |
| dc.language.iso | en | en_US |
| dc.publisher | Cambridge University Press | en_US |
| dc.rights | © EDP Sciences, 2013 | en_US |
| dc.subject | Bounds for extreme zeros of orthogonal and q-orthogonal polyno-mials | en_US |
| dc.subject | Common zeros of orthogonal polynomials | en_US |
| dc.subject | Monotonicity | en_US |
| dc.subject | Convexity | en_US |
| dc.subject | Interlacing of zeros | en_US |
| dc.subject | Separation of zeros | en_US |
| dc.subject | Inequalities for zeros | en_US |
| dc.title | Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials | en_US |
| dc.type | Article | en_US |
