Bounds for zeros of Meixner and Kravchuk polynomials

dc.contributor.author	Jooste, Alta
dc.contributor.author	Jordaan, Kerstin Heidrun
dc.date.accessioned	2014-07-15T06:56:21Z
dc.date.issued	2014-04
dc.description.abstract	The zeros of certain different sequences of orthogonal polynomials interlace in a well-defined way. The study of this phenomenon and the conditions under which it holds lead to a set of points that can be applied as bounds for the extreme zeros of the polynomials. We consider different sequences of the discrete orthogonal Meixner and Kravchuk polynomials and use mixed three-term recurrence relations, satisfied by the polynomials under consideration, to identify bounds for the extreme zeros of Meixner and Kravchuk polynomials.	en_US
dc.description.librarian	hb2014	en_US
dc.description.sponsorship	National Research Foundation of South Africa	en_US
dc.description.uri	http://journals.cambridge.org/action/displayJournal?jid=JCM	en_US
dc.identifier.citation	Jooste, A & Jordaan, KH 2014, 'Bounds for zeros of Meixner and Kravchuk polynomials', LMS Journal of Computation and Mathematics, vol. 17, no. 1, pp. 47-57.	en_US
dc.identifier.issn	1461-1570 (online)
dc.identifier.other	10.1112/S1461157013000260
dc.identifier.uri	http://hdl.handle.net/2263/40738
dc.language.iso	en	en_US
dc.publisher	Cambridge University Press	en_US
dc.rights	© The Author(s) 2014	en_US
dc.subject	Kravchuk polynomials	en_US
dc.subject	Meixner polynomials	en_US
dc.title	Bounds for zeros of Meixner and Kravchuk polynomials	en_US
dc.type	Article	en_US