A new approach to Leonardo number sequences with the dual vector and dual angle representation-Reference-Cited by-同舟云学术

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

Published:2024 Issue:6 Volume:9 Page:14062-14074
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Babadağ Faik¹,Atasoy Ali²

Affiliation:

1. Department of Mathematics, Kırıkkale University, 71450, Yahşihan, Kırıkkale, Turkey

2. Keskin Vocational School, Kırıkkale University, 71800, Keskin, Kırıkkale, Turkey

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>

Publisher

American Institute of Mathematical Sciences (AIMS)

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