New proofs of linear recurrence identities for terms of the Horadam sequence.
Journal article
Larcombe, Peter J. and Fennessey, Eric J. 2019. New proofs of linear recurrence identities for terms of the Horadam sequence. Palestine Journal of Mathematics.
| Authors | Larcombe, Peter J. and Fennessey, Eric J. |
|---|---|
| Abstract | We state, and prove using matrices, two (related) linear recurrence identities for termsofthesocalledHoradamsequence;eachresultexpressesthegeneraltermofthesequence as a linear combination of terms with particular initial values. First offered by A.F. Horadam himself in the 1960s, our approach to their formulation is quite different and, we believe, new. |
| Keywords | Horadam sequence recursion identities |
| Year | 2019 |
| Journal | Palestine Journal of Mathematics |
| Publisher | Palestine Polytechnic University |
| ISSN | 2219-5688 |
| Web address (URL) | http://hdl.handle.net/10545/623243 |
| http://creativecommons.org/licenses/by/4.0/ | |
| hdl:10545/623243 | |
| Publication dates | 2019 |
| Publication process dates | |
| Deposited | 18 Dec 2018, 14:30 |
| Contributors | University of Derby |
| File | File Access Level Open |
| File | File Access Level Open |
| File | File Access Level Open |
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