On the ratios and geometric boundaries of complex Horadam sequences.
Journal article
Authors | Bagdasar, Ovidiu, Hedderwick, Eve and Popa, Ioan-Lucian |
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Abstract | Horadam sequences are second-order linear recurrences in the complex plane which depend on two initial conditions and two recurrence coefficients which are complex numbers. Recently, numerous papers have been devoted to the periodicity of these sequences, as well as to generalizations and applications. In this paper we investigate aspects related to the sequence of rations of consecutive terms and geometric bounds of Horadam sequences. We also propose some directions for further study. |
Horadam sequences are second-order linear recurrences in the complex plane which | |
Keywords | Recurrent sequences; Horadam sequence; Geometric patterns; Ratios; Geometric bounds; Mathematics |
Year | 2018 |
Journal | Electronic Notes in Discrete Mathematics |
Publisher | Elsevier |
ISSN | 15710653 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.endm.2018.05.011 |
Web address (URL) | http://hdl.handle.net/10545/622921 |
http://creativecommons.org/licenses/by-sa/4.0/ | |
hdl:10545/622921 | |
Publication dates | 14 Jun 2018 |
Publication process dates | |
Deposited | 24 Aug 2018, 13:55 |
Rights | Archived with thanks to Electronic Notes in Discrete Mathematics |
Contributors | University of Derby and University of Alba Iulia |
File | |
File | File Access Level Open |
File | File Access Level Open |
https://repository.derby.ac.uk/item/94z1y/on-the-ratios-and-geometric-boundaries-of-complex-horadam-sequences
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