Mixed recurrence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences
| dc.contributor.author | Jordaan, Kerstin Heidrun | |
| dc.contributor.author | Tookos, Ferenc | |
| dc.contributor.email | kerstin.jordaan@up.ac.za | en |
| dc.date.accessioned | 2010-03-24T06:21:03Z | |
| dc.date.available | 2010-03-24T06:21:03Z | |
| dc.date.issued | 2010-07 | |
| dc.description.abstract | We use the generating functions of some q-orthogonal polynomials to obtain mixed recurrence relations involving polynomials with shifted parameter values. These relations are used to prove interlacing results for the zeros of Al- Salam–Chihara, continuous q-ultraspherical, q-Meixner–Pollaczek and q-Laguerre polynomials of the same or adjacent degree as one of the parameters is shifted by integer values or continuously within a certain range. Numerical examples are given to illustrate situations where the zeros do not interlace. | en |
| dc.identifier.citation | Jordaan, K & Tookos, F 2010, 'Mixed recurrence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences', Acta Mathematica Hungarica, vol. 128, no. 1-2, pp. 150-164, doi:10.1007/s10474-009-9176-9. [http://www.springerlink.com/content/102836/?p=daf2f804c3f24df1865a0b9c7f6d4ae8π=12] | en |
| dc.identifier.issn | 0236-5294 | |
| dc.identifier.other | 10.1007/s10474-009-9176-9 | |
| dc.identifier.uri | http://hdl.handle.net/2263/13691 | |
| dc.language.iso | en | en |
| dc.publisher | Springer | en |
| dc.rights | Springer | en |
| dc.subject | Interlacing of zeros | en |
| dc.subject | Mixed recurrence relations | en |
| dc.subject.lcsh | Relation algebras | en |
| dc.subject.lcsh | Orthogonal polynomials | en |
| dc.subject.lcsh | Generating functions | en |
| dc.title | Mixed recurrence relations and interlacing of the zeros of some q-orthogonal polynomials from different sequences | en |
| dc.type | Postprint Article | en |