Parity of polynomial multiplier sequences for the Chebyshev basis.
dc.contributor.author | Piotrowski, Andrzej | |
dc.contributor.author | Shterenberg, Joshua | |
dc.date.accessioned | 2023-11-20T19:48:53Z | |
dc.date.available | 2023-11-20T19:48:53Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Piotrowski, A., & Shterenberg, J. (2023). Parity of polynomial multiplier sequences for the Chebyshev basis. Involve, a Journal of Mathematics, 16(4), 689-703. | en_US |
dc.identifier.issn | 1944-4176 | |
dc.identifier.other | 1944-4184 | |
dc.identifier.uri | http://hdl.handle.net/11122/14750 | |
dc.description.abstract | Abstract. We demonstrate that if p ∈ R[x] and p is not an even function, then {p(k)}∞ k=0 is not a multiplier sequence for the basis of Chebyshev polynomials of the first kind. We also give a characterization of geometric multiplier sequences for the Chebyshev basis. | en_US |
dc.language.iso | en_US | en_US |
dc.source | Involve, a Journal of Mathematics | en_US |
dc.subject | Chebyshev polynomials | en_US |
dc.subject | multiplier sequences | en_US |
dc.subject | polynomials | en_US |
dc.subject | geometric multiplier sequences | en_US |
dc.subject | Research Subject Categories::MATHEMATICS::Algebra, geometry and mathematical analysis::Algebra and geometry | en_US |
dc.title | Parity of polynomial multiplier sequences for the Chebyshev basis. | en_US |
dc.type | Article | en_US |
dc.description.peerreview | Yes | en_US |
refterms.dateFOA | 2023-11-20T19:48:54Z | |
dc.identifier.journal | Involve, a Journal of Mathematics | en_US |