Results 21 to 30 of about 908 (146)
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 +1 more
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On circulant matrices with Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn literature, there exist many papers that compute determinants and some kinds of norms of circulant matrices involving some well-known number sequences.
Seda Yamaç Akbıyık +3 more
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On Bicomplex (p,q)-Fibonacci Quaternions
Mathematics, 2023 Here, we describe the bicomplex (p,q)- Fibonacci numbers and the bicomplex (p,q)- Fibonacci quaternions that are based on these numbers and give some of their equations, including the Binet formula, generating function, Catalan, Cassini, d’Ocagne’s identities, and some summation formulas for both of them. Finally, we create a matrix for bicomplex (p,q)-
Çağla Çelemoğlu
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Fibonacci 3-Parameter Generalized Quaternions
European Journal of Science and Technology, 2022 There are many studies on Fibonacci quaternions and their generalizations. Recently, Şentürk and Ünal (2022) introduced 3-parameter generalized quaternions. The goal of this study is to introduce Fibonacci and Lucas 3-parameter generalized quaternions and to investigate their properties.
Göksal Bilgici
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Circular-hyperbolic Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 Fügen Torunbalcı Aydın
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Generalized Pauli Fibonacci Polynomial Quaternions
AxiomsSince Hamilton proposed quaternions as a system of numbers that does not satisfy the ordinary commutative rule of multiplication, quaternion algebras have played an important role in many mathematical and physical studies.
Bahadır Yılmaz +2 more
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More identities for Fibonacci and Lucas quaternions
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2018 Summary: In this paper, we define the associate matrix as \[ F= \left( \begin{matrix} 1+i+2j+3k & i+j+2k \\ i+j+2k & 1+j+k \end{matrix} \right). \] By the means of the matrix \(F\), we give several identities about Fibonacci and Lucas quaternions by matrix methods.
Nurettin Irmak
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Pauli–Leonardo quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this study, we define Pauli–Leonardo quaternions by taking the coefficients of the Pauli quaternions as Leonardo numbers. We give the recurrence relation, Binet formula, generating function, exponential generating function, some special equalities ...
Zehra İşbilir +2 more
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Pauli Gaussian Fibonacci and Pauli Gaussian Lucas Quaternions
Mathematics, 2022 We have investigated new Pauli Fibonacci and Pauli Lucas quaternions by taking the components of these quaternions as Gaussian Fibonacci and Gaussian Lucas numbers, respectively. We have calculated some basic identities for these quaternions.
Ayşe Zeynep Azak
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On Fibonacci quaternion matrix [PDF]
Notes on Number Theory and Discrete Mathematics, 2021 In this study, we have defined Fibonacci quaternion matrix and investigated its powers. We have also derived some important and useful identities such as Cassini’s identity using this new matrix.
Serpil Halici, Ömür Deveci
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