Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials
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| dc.contributor.author | Tcheutia, D.D.
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| dc.contributor.author | Jooste, Alta
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| dc.contributor.author | Koepf, W.
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| dc.date.accessioned | 2018-09-03T09:52:16Z | |
| dc.date.issued | 2018-03 | |
| dc.description.abstract | Using the q-version of Zeilberger's algorithm, we provide a procedure to find mixed recurrence equations satisfied by classical q-orthogonal polynomials with shifted parameters. These equations are used to investigate interlacing properties of zeros of sequences of q-orthogonal polynomials. In the cases where zeros do not interlace, we give some numerical examples to illustrate this. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.embargo | 2019-03-01 | |
| dc.description.librarian | hj2018 | en_ZA |
| dc.description.sponsorship | A TWAS/DFG fellowship for A.S. Jooste and the Institute of Mathematics of the University of Kassel (Germany) for D.D. Tcheutia. | en_ZA |
| dc.description.uri | http://www.elsevier.com/locate/apnum | en_ZA |
| dc.identifier.citation | Tcheutia D.D., Jooste A.S. & Koepf W. 2018, 'Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials', Applied Numerical Mathematics, vol. 125, pp. 86-102. | en_ZA |
| dc.identifier.issn | 0168-9274 (print) | |
| dc.identifier.issn | 1873-5460 (online) | |
| dc.identifier.other | 10.1016/j.apnum.2017.11.003 | |
| dc.identifier.uri | http://hdl.handle.net/2263/66430 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | Elsevier | en_ZA |
| dc.rights | © 2017 IMACS. Published by Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Numerical Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Applied Numerical Mathematics, vol. 125, pp. 86-102. 2018. doi : 10.1016/j.apnum.2017.11.003. | en_ZA |
| dc.subject | Classical q-orthogonal polynomials | en_ZA |
| dc.subject | Mixed recurrence equations | en_ZA |
| dc.subject | Interlacing of zeros | en_ZA |
| dc.subject | Polynomials | en_ZA |
| dc.subject | Interlacing properties | en_ZA |
| dc.subject | Q-orthogonal polynomials | en_ZA |
| dc.subject | Recurrence equation | en_ZA |
| dc.subject | Zeilberger's algorithm | en_ZA |
| dc.subject | Orthogonal functions | en_ZA |
| dc.title | Mixed recurrence equations and interlacing properties for zeros of sequences of classical q-orthogonal polynomials | en_ZA |
| dc.type | Postprint Article | en_ZA |
