# 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.*Authors | Larcombe, 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. |

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/10545/623241 |

http://creativecommons.org/licenses/by/4.0/ | |

hdl:10545/623241 | |

Publication dates | 2019 |

Publication process dates | |

Deposited | 18 Dec 2018, 13:58 |

Contributors | University of Derby |

File | File Access Level Open |

File | File Access Level Open |

File | File Access Level Open |

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https://repository.derby.ac.uk/item/94z6v/on-generalised-multi-index-non-linear-recursion-identities-for-terms-of-the-horadam-sequence

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