Results 21 to 30 of about 122 (99)

Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions [PDF]

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flaut, Cristina, Savin, Diana
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On a Generalization of Incomplete Fibonacci Quaternions

The Journal of the Indian Mathematical Society, 2021
The aim of this article is to introduce a new class of quater- nions, namely, incomplete Horadam quaternions that are based on in- complete Horadam numbers which generalize the previously introduced incomplete Fibonacci and Lucas quaternions. Further, some identities including summation formulas and generating functions concerning these quaternions are
Bijan Kumar Patel, Narmada Behera
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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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On a generalization for fibonacci quaternions

Chaos, Solitons & Fractals, 2017
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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 Fórmula de Binet e representações matriciais para os Quaternions Complexos de Fibonacci

Revista Thema, 2018
Este trabalho investiga a complexificação do modelo de Fibonacci através do estudo sobre os Quaternions. Assim, são apresentadas as definições para os Quaternions de Fibonacci tanto na forma real como complexa.
Rannyelly Rodrigues de Oliveira, Francisco Régis Vieira Alves   +1 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
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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 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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