Interlacing of zeros of quasi-orthogonal Meixner polynomials
dc.contributor.author | Driver, K. | |
dc.contributor.author | Jooste, Alta | |
dc.contributor.email | alta.jooste@up.ac.za | en_ZA |
dc.date.accessioned | 2017-08-01T07:42:47Z | |
dc.date.issued | 2017-04 | |
dc.description.abstract | We consider the interlacing of zeros of polynomials within the sequences of quasi-orthogonal order one Meixner polynomials characterised by −β, c ∈ (0, 1). The interlacing of zeros of quasi-orthogonal Meixner polynomials Mn(x; β, c) with the zeros of their nearest orthogonal counterparts Ml(x; β + k, c), l, n ∈ ℕ, k ∈ {1, 2}, is also discussed. | en_ZA |
dc.description.department | Mathematics and Applied Mathematics | en_ZA |
dc.description.embargo | 2018-04-10 | |
dc.description.librarian | hj2017 | en_ZA |
dc.description.sponsorship | The DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS) under grant number FA2016/008. | en_ZA |
dc.description.uri | http://www.tandfonline.com/loi/tqma20 | en_ZA |
dc.identifier.citation | K. Driver & A. Jooste (2017) Interlacing of zeros of quasi-orthogonal Meixner polynomials, Quaestiones Mathematicae, 40:4, 477-490, DOI: 10.2989/16073606.2017.1298681. | en_ZA |
dc.identifier.issn | 1607-3606 (online) | |
dc.identifier.issn | 1727-933X (print) | |
dc.identifier.other | 10.2989/16073606.2017.1298681 | |
dc.identifier.uri | http://hdl.handle.net/2263/61536 | |
dc.language.iso | en | en_ZA |
dc.publisher | Taylor and Francis | en_ZA |
dc.rights | © 2017 NISC (Pty) Ltd. This is an electronic version of an article published in Quaestiones Mathematicae, vol. 40, no. 4, pp. 477-490, 2017. doi : 10.2989/16073606.2017.1298681. Quaestiones Mathematicae is available online at : http://www.tandfonline.comloi/tqma20. | en_ZA |
dc.subject | Interlacing of zeros | en_ZA |
dc.subject | Meixner polynomials | en_ZA |
dc.subject | Quasi-orthogonal polynomials | en_ZA |
dc.subject | Discrete orthogonal polynomials | en_ZA |
dc.title | Interlacing of zeros of quasi-orthogonal Meixner polynomials | en_ZA |
dc.type | Postprint Article | en_ZA |