On generalised multi-index non-linear recursion identities for terms of the Horadam sequence.
dc.contributor.author | Larcombe, Peter J. | |
dc.contributor.author | Fennessey, Eric J. | |
dc.date.accessioned | 2018-12-18T13:58:51Z | |
dc.date.available | 2018-12-18T13:58:51Z | |
dc.date.issued | 2019 | |
dc.identifier.citation | Larcombe, P.J., and Fennessey, E. J. (2019) ‘On generalised multi-index non-linear recursion identities for terms of the Horadam sequence’, Palestine Journal of Mathematics, 8(1), pp. 127-131. | en |
dc.identifier.issn | 2219-5688 | |
dc.identifier.uri | http://hdl.handle.net/10545/623241 | |
dc.description.abstract | We state and prove a non-linear recurrence identity for terms of the so called Horadamsequence,andthenofferitsgeneralisationwhichisavailablefromthesamemethodology. We illustrate how the overarching idea may be used to sequentially produce extended versions, each in turn with an extra level of non-linearity and term index complexity. These identities can all be captured in matrix determinant form. | |
dc.description.sponsorship | N/A | en |
dc.language.iso | en | en |
dc.publisher | Palestine Polytechnic University | en |
dc.relation.url | http://pjm.ppu.edu/ | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.subject | Horadam sequence recursion identities | en |
dc.title | On generalised multi-index non-linear recursion identities for terms of the Horadam sequence. | en |
dc.type | Article | en |
dc.contributor.department | University of Derby | en |
dc.identifier.journal | Palestine Journal of Mathematics | en |
refterms.dateFOA | 2019-02-28T17:57:28Z | |
html.description.abstract | We state and prove a non-linear recurrence identity for terms of the so called Horadamsequence,andthenofferitsgeneralisationwhichisavailablefromthesamemethodology. We illustrate how the overarching idea may be used to sequentially produce extended versions, each in turn with an extra level of non-linearity and term index complexity. These identities can all be captured in matrix determinant form. |