On generalised multi-index non-linear recursion identities for terms of the Horadam sequence.

Larcombe, Peter J.; Fennessey, Eric J.

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.