Results 21 to 30 of about 120 (109)
Journal of Science and Arts, 2021 In this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for Fibonacci quaternions, for Tribonacci quaternions and for Tetranacci quaternions. We give generating function, the summation formula and some properties about k-order Fibonacci quaternions. Also,
Asci, Mustafa, Aydinyuz, Suleyman
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On the Periods of 2-Step General Fibonacci Sequences in the Generalized Quaternion Groups
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
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On the 2k-step Jordan-Fibonacci sequence
Advances in Difference Equations, 2017 In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
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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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q-Fibonacci bicomplex quaternions
, 2021 In the paper, we define the $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions, respectively. Then, we give some algebraic properties of $q$-Fibonacci bicomplex quaternions and the $q$-Lucas bicomplex quaternions.
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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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Non-Abelian Sequenceable Groups Involving ?-Covers [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 A non-abelian finite group is called sequenceable if for some positive integer , is -generated ( ) and there exist integers such that every element of is a term of the -step generalized Fibonacci sequence , , , .
H. Doostie
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A quantum calculus framework for Gaussian Fibonacci and Gaussian Lucas quaternion numbers [PDF]
Notes on Number Theory and Discrete MathematicsIn 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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Unrestricted Fibonacci and Lucas quaternions
Fundamental Journal of Mathematics and Applications, 2021 Many quaternion numbers associated with Fibonacci and Lucas numbers or even their generalizations have been defined and widely discussed so far. In all the studies, the coefficients of these quaternions have been selected from consecutive terms of these numbers.
Ahmet DAŞDEMİR, Göksal BİLGİCİ
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Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background Non‐contrast renal MR angiography (MRA) is valuable for patients who cannot receive contrast agents or when avoiding radiation is desired. However, the conventional inflow inversion recovery (IFIR) method is limited by incomplete background suppression, venous contamination, and motion sensitivity.
Yulin Wang +13 more
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