Hybrid Leonardo numbers

Y Alp, EG Kocer - Chaos, Solitons & Fractals, 2021 - Elsevier
Until today, many researchers have studied related to hybrid numbers which are a
generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo …

[PDF][PDF] On generalized Leonardo p-numbers

K Kuhapatanakul, P Ruankong - Journal of Integer Sequences, 2024 - cs.uwaterloo.ca
We introduce a generalization of Leonardo p-numbers, which extends the definition of
Leonardo p-numbers given by Tan and Leung, and investigate some of their basic …

On Leonardo pisano hybrinomials

F Kürüz, A Dağdeviren, P Catarino - Mathematics, 2021 - mdpi.com
A generalization of complex, dual, and hyperbolic numbers has recently been defined as
hybrid numbers. In this study, using the Leonardo Pisano numbers and hybrid numbers we …

ON LEONARDO p-NUMBERS.

E Tan, HH Leung - Integers: Electronic Journal of …, 2023 - search.ebscohost.com
In this paper, we introduce a new generalization of Leonardo numbers, which are socalled
Leonardo p-numbers. We investigate some basic properties of these numbers. We also …

Ordered Leonardo quadruple numbers

SK Nurkan, İA Güven - Symmetry, 2023 - mdpi.com
In this paper, we introduce a new quadruple number sequence by means of Leonardo
numbers, which we call ordered Leonardo quadruple numbers. We determine the properties …

[PDF][PDF] Combinatorial proofs of identities for the generalized Leonardo numbers

M Shattuck - Notes on Number Theory and Discrete Mathematics, 2022 - nntdm.net
In this paper, we provide combinatorial proofs of several prior identities satisfied by the
recently introduced generalized Leonardo numbers, denoted by Lk, n, as well as derive …

On the hyperbolic leonardo and hyperbolic francois quaternions

O Dışkaya, H Menken, PMMC Catarino - Journal of New Theory, 2023 - dergipark.org.tr
In this paper, we present a new definition, referred to as the Francois sequence, related to
the Lucas-like form of the Leonardo sequence. We also introduce the hyperbolic Leonardo …

[PDF][PDF] On complex Leonardo numbers

A Karatas - Notes on Number Theory and Discrete Mathematics, 2022 - gcris.pau.edu.tr
In this study, we introduce the complex Leonardo numbers and give some of their properties
including Binet formula, generating function, Cassini and d'Ocagne's identities. Also, we …

On hybrid numbers with Gaussian Leonardo coefficients

N Kara, F Yilmaz - Mathematics, 2023 - mdpi.com
We consider the Gaussian Leonardo numbers and investigate some of their amazing
characteristic properties, including their generating function, the associated Binet formula …

Pauli-Leonardo quaternions

Z Isbilir, M Akyigit, M Tosun - 2023 - acikerisim.sakarya.edu.tr
With the advent of wearable/portable electronics and hybrid electric vehicles,
supercapacitors have gained much interest owing to their high-power density. This work …