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AIMS Mathematics
Article . 2024 . Peer-reviewed
Data sources: Crossref
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AIMS Mathematics
Article . 2024
Data sources: DOAJ
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A new approach to Leonardo number sequences with the dual vector and dual angle representation

Authors: Babadağ, Faik; Atasoy, Ali;

A new approach to Leonardo number sequences with the dual vector and dual angle representation

Abstract

<abstract><p>In this paper, we introduce dual numbers with components including Leonardo number sequences. This novel approach facilitates our understanding of dual numbers and properties of Leonardo sequences. We also investigate fundamental properties and identities associated with Leonardo number sequences, such as Binet's formula and Catalan's, Cassini's and D'ocagne's identities. Furthermore, we also introduce a dual vector with components including Leonardo number sequences and dual angles. This extension not only deepens our understanding of dual numbers, it also highlights the interconnectedness between numerical sequences and geometric concepts. In the future it would be valuable to replicate a similar exploration and development of our findings on dual numbers with Leonardo number sequences.</p></abstract>

Country
Turkey
Related Organizations
Keywords

leonardo number sequences, recurrences, dual angle, Leonardo number sequences; recurrences; dual vector; dual angle, dual vector, QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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