Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials

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dc.contributor.authorDriver, K
dc.contributor.authorJordaan, K
dc.date.accessioned2021-10-08T07:08:20Z
dc.date.available2021-10-08T07:08:20Z
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.
dc.identifier.apacitationDriver, K., & Jordaan, K. (2013). Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials. <i>Mathematical Modelling of Natural Phenomena</i>, 8(1), 48 - 59. http://hdl.handle.net/11427/34558en_ZA
dc.identifier.chicagocitationDriver, K, and K Jordaan "Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials." <i>Mathematical Modelling of Natural Phenomena</i> 8, 1. (2013): 48 - 59. http://hdl.handle.net/11427/34558en_ZA
dc.identifier.citationDriver, K. & Jordaan, K. 2013. Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials. <i>Mathematical Modelling of Natural Phenomena.</i> 8(1):48 - 59. http://hdl.handle.net/11427/34558en_ZA
dc.identifier.issn0973-5348
dc.identifier.issn1760-6101
dc.identifier.ris TY - Journal Article AU - Driver, K AU - Jordaan, K AB - 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. DA - 2013 DB - OpenUCT DP - University of Cape Town IS - 1 J1 - Mathematical Modelling of Natural Phenomena LK - https://open.uct.ac.za PY - 2013 SM - 0973-5348 SM - 1760-6101 T1 - Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials TI - Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials UR - http://hdl.handle.net/11427/34558 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34558
dc.identifier.vancouvercitationDriver K, Jordaan K. Inequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials. Mathematical Modelling of Natural Phenomena. 2013;8(1):48 - 59. http://hdl.handle.net/11427/34558.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceMathematical Modelling of Natural Phenomena
dc.source.journalissue1
dc.source.journalvolume8
dc.source.pagination48 - 59
dc.source.urihttps://dx.doi.org/10.1051/mmnp/20138103
dc.subject.otherBounds for extreme zeros of orthogonal and q-orthogonal polyno-mials
dc.subject.otherCommon zeros of orthogonal polynomials
dc.subject.otherMonotonicity
dc.subject.otherConvexity
dc.subject.otherInterlacing of zeros
dc.subject.otherSeparation of zeros
dc.subject.otherInequalities for zeros
dc.subject.otherArticle
dc.titleInequalities for Extreme Zeros of Some Classical Orthogonal and q-orthogonal Polynomials
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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