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 |