Inequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomials

dc.contributor.authorDriver, Kathy (Cathryn Helena Stanford)
dc.contributor.authorJordaan, Kerstin Heidrun
dc.date.accessioned2013-04-16T11:12:51Z
dc.date.available2014-01-31T00:20:04Z
dc.date.issued2013
dc.description.abstractLet {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.librarianam2013en_US
dc.description.sponsorshipThe National Research Foundation of South Africa.en_US
dc.description.urihttp://www.mmnp-journal.orgen_US
dc.identifier.citationDriver, 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.issn0973-5348 (print)
dc.identifier.issn1760-6101 (online)
dc.identifier.other10.1051/mmnp/20138103
dc.identifier.urihttp://hdl.handle.net/2263/21288
dc.language.isoenen_US
dc.publisherCambridge University Pressen_US
dc.rights© EDP Sciences, 2013en_US
dc.subjectBounds for extreme zeros of orthogonal and q-orthogonal polyno-mialsen_US
dc.subjectCommon zeros of orthogonal polynomialsen_US
dc.subjectMonotonicityen_US
dc.subjectConvexityen_US
dc.subjectInterlacing of zerosen_US
dc.subjectSeparation of zerosen_US
dc.subjectInequalities for zerosen_US
dc.titleInequalities for extreme zeros of some classical orthogonal and q-orthogonal polynomialsen_US
dc.typeArticleen_US

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