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

Journal article

Larcombe, Peter J. and Fennessey, Eric J. 2019. On generalised multi-index non-linear recursion identities for terms of the Horadam sequence. Palestine Journal of Mathematics.
AuthorsLarcombe, Peter J. and Fennessey, Eric J.
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.

KeywordsHoradam sequence recursion identities
Year2019
JournalPalestine Journal of Mathematics
PublisherPalestine Polytechnic University
ISSN2219-5688
Web address (URL)http://hdl.handle.net/10545/623241
http://creativecommons.org/licenses/by/4.0/
hdl:10545/623241
Publication dates2019
Publication process dates
Deposited18 Dec 2018, 13:58
ContributorsUniversity of Derby
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