Results 31 to 40 of about 228 (120)

On Dual Quaternions with $k-$Generalized Leonardo Components

Journal of New Theory, 2023
In this paper, we define a one-parameter generalization of Leonardo dual quaternions, namely $k-$generalized Leonardo-like dual quaternions. We introduce the properties of $k$-generalized Leonardo-like dual quaternions, including relations with Leonardo,
Gülsüm Yeliz Saçlı, Çiğdem Zeynep Yılmaz   +1 more
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New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
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A note on hyperbolic (p,q)-Fibonacci quaternions [PDF]

, 2020
In this paper, we introduce a new quaternion sequence called hyperbolic (p, q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal ...
Yağmur, Tülay, Tülay YAĞMUR
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On a generalization for fibonacci quaternions

Chaos, Solitons & Fractals, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Halıcı, Serpil, Karataş, Adnan
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On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions

Journal of New Theory, 2023
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 and hyperbolic Francois quaternions.
Paula Maria Machado Cruz Catarino, Orhan Dışkaya, Hamza Menken   +2 more
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A New Class of Leonardo Hybrid Numbers and Some Remarks on Leonardo Quaternions over Finite Fields

Mathematics, 2023
In this paper, we present a new class of Leonardo hybrid numbers that incorporate quantum integers into their components. This advancement presents a broader generalization of the q-Leonardo hybrid numbers.
Elif Tan, Diana Savin, Semih Yılmaz
doaj   +1 more source

On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis

Open Mathematics, 2021
In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras.
Bajorska-Harapińska Beata, Ludew Jakub Jan, Smoleń-Duda Barbara, Wituła Roman   +3 more
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On Third Order Bronze Fibonacci Quaternions

, 2022
In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet’s formula and some properties of these quaternions.
Jeta ALO, Alo, Jeta
core   +1 more source

On quaternion-Gaussian Fibonacci polynomials

Miskolc Mathematical Notes, 2023
Summary: In this paper, we define Gaussian Fibonacci quaternion polynomials and Gaussian Lucas quaternion polynomials. We also investigate some properties of these quaternion polynomials.
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A quantum calculus framework for Gaussian Fibonacci and Gaussian Lucas quaternion numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In order to investigate the relationship between Gaussian Fibonacci numbers and quantum numbers and to develop both a deeper theoretical understanding in this study, q-Gaussian Fibonacci, q-Gaussian Lucas quaternions and polynomials are taken with ...
Bahar Kuloğlu
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