Zeros of linear combinations of Laguerre polynomials from different sequences

dc.contributor.author	Driver, Kathy (Cathryn Helena Stanford)
dc.contributor.author	Jordaan, Kerstin Heidrun
dc.date.accessioned	2009-09-17T07:56:48Z
dc.date.available	2009-09-17T07:56:48Z
dc.date.issued	2009
dc.description.abstract	We study interlacing properties of the zeros of two types of linear combinations of Laguerre polynomials with different parameters, namely Rn = Lαn + aL α’n and Sn = Lαn + bLα’n-1. Proofs and numerical counterexamples are given in situations where the zeros of Rn, and Sn, respectively, interlace (or do not in general) with the zeros of Lαk, Lαk, K = n or n-1. The results we prove hold for continuous, as well as integral, shifts of the parameter α.	en_US
dc.identifier.citation	K. Driver, K. Jordaan, Zeros of linear combinations of Laguerre polynomials from different sequences, Journal of Computational and Applied Mathematics (2009), doi:10.1016/j.cam.2009.02.091	en_US
dc.identifier.issn	0377-0427
dc.identifier.other	10.1016/j.cam.2009.02.091
dc.identifier.uri	http://hdl.handle.net/2263/11304
dc.language.iso	en	en_US
dc.publisher	Elsevier	en_US
dc.rights	Elsevier	en_US
dc.subject	Zeros	en
dc.subject	Interlacing properties	en
dc.subject	Linear combinations	en
dc.subject.lcsh	Laguerre polynomials	en
dc.title	Zeros of linear combinations of Laguerre polynomials from different sequences	en_US
dc.type	Postprint Article	en_US