Results 11 to 20 of about 69,814 (147)
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.
S. Halıcı, Ö. Deveci
semanticscholar +5 more sources
A note on h(x) − Fibonacci quaternion polynomials
Chaos, Solitons & Fractals, 2015 In this paper, we introduce h(x) − Fibonacci quaternion polynomials that generalize the k − Fibonacci quaternion numbers, which in their turn are a generalization of the Fibonacci quaternion numbers.
P. Catarino
semanticscholar +6 more sources
Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions [PDF]
Advances in Applied Clifford Algebras, 2015 In this paper, we introduce the generalized Fibonacci–Lucas quaternions and we prove that the set of these elements is an order—in the sense of ring theory—of a quaternion algebra. Moreover, we investigate some properties of these elements.
Diana Savin, Cristina Elena Flaut
exaly +5 more sources
On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups [PDF]
Discrete Dynamics in Nature and Society, 2012 We study 2-step general Fibonacci sequences in the generalized quaternion groups Q4n. In cases where the sequences are proved to be simply periodic, we obtain the periods of 2-step general Fibonacci sequences.
Bahram Ahmadi, Hossein Doostie
doaj +3 more sources
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.
Tülay Yaǧmur
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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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Dual Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2014 In this study, we define the dual Fibonacci quaternion and the dual Lucas quternion. We derive the relations between the dual Fibonacci and the dual Lucas quaternion which connected the Fibonacci and the Lucas numbers. Furthermore, we give the Binet and Cassini formulas for these quaternions.
Nurkan, Semra Kaya, Güven İ.A.
openaire +5 more sources
On the Fibonacci quaternion sequence with quadruple-produce components [PDF]
Acta et commentationes Universitatis Tartuensis de mathematica, 2021 This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given.
Orhan Dişkaya, H. Menken
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On the Bicomplex $k$-Fibonacci Quaternions
Communications in Advanced Mathematical Sciences, 2019 In this paper, bicomplex $k$-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex $k$-Fibonacci quaternions are investigated.
Fügen Torunbalcı Aydın
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The $${h(x)}$$h(x)-Fibonacci Quaternion Polynomials: Some Combinatorial Properties
, 2016 In this paper we consider the $${h(x)}$$h(x)-Fibonacci quaternion polynomials and present some properties involving these polynomials, including the exponential and Poisson generating functions.
P. Catarino
semanticscholar +2 more sources