Results 81 to 90 of about 228 (120)

Circular-hyperbolic Fibonacci quaternions [PDF]

Notes on Number Theory and Discrete Mathematics, 2020
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On dual Fibonacci octonions

, 2015
In this study, we define the dual Fibonacci octonions and consider the dual Fibonacci quaternions. We investigate some fundamental algebraic properties of the Fibonacci octonions and quaternions.
Halıcı, Serpil
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Dual third-order Jacobsthal quaternions

, 2018
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions.
Cerda-Morales, Gamaliel
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A molecular-structure hypothesis. [PDF]

Int J Mol Sci, 2010
Boeyens JC.
europepmc   +1 more source

Bicomplex k-Fibonacci quaternions

, 2018
In this paper, bicomplex k-Fibonacci quaternions are defined. Also, some algebraic properties of bicomplex k-Fibonacci quaternions which are connected with bicomplex numbers and k-Fibonacci numbers are investigated. Furthermore, the Honsberger identity, the d'Ocagne's identity, Binet's formula, Cassini's identity, Catalan's identity for these ...
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Complex Fibonacci P-numbers and Fibonacci-P quaternions

, 2014
Bu çalışmada ilk olarak kompleks Fibonacci sayıları p+1. mertebeden indirgeme bağıntıları kullanılarak kompleks Fibonacci p-sayılarına genelleştirildi. Ayrıca kompleks Fibonacci p-sayıları ile ilgili bazı özellikler verildi ve başlangıç koşulları Lucas p-
Yalçın, Nazmiye Feyza
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Genelleştirilmiş fibonacci ve lucas kuaterniyonları ve bazı uygulamaları [PDF]

, 2018
06.03.2018 tarihli ve 30352 sayılı Resmi Gazetede yayımlanan “Yükseköğretim Kanunu İle Bazı Kanun Ve Kanun Hükmünde Kararnamelerde Değişiklik Yapılması Hakkında Kanun” ile 18.06.2018 tarihli “Lisansüstü Tezlerin Elektronik Ortamda Toplanması ...
Topal, Nazim
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ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS

Journal of Science and Arts
This paper presents a novel class of quaternions derived from the concept of elliptic quaternions. Specifically, we establish the Fibonacci and Lucas elliptic quaternions, serving as a natural extension of the Fibonacci and Lucas quaternions. Our study delves into the fundamental properties of these sequences, including recurrence relations, generating
ELIF TAN, TUĞBA YAMAN, ISMAIL GÖK
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Quaternions via generalized Fibonacci and Lucas number components [PDF]

, 2019
In this paper, we derive some combinatorial properties of generalized Fibonacci quaternion Q(n) and generalized Lucas quaternion K-n, where the components of Q(n) and K-n are generalized Fibonacci number U-n and generalized Lucas number V-n, respectively.
Bitim, Bahar Demirtürk, Topal, Nazım
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Quaternions of some number sequences and their properties

, 2019
Bu tez çalışması, "On Fibonacci Quaternions", "A Note On Fibonacci Quaternions", "Some Results On Fibonacci Quaternions", "On Pell Quaternions and Pell – Lucas Quaternions" adlı çalışmaların incelenmesi ile derleme bir çalışma olarak yapılmıştır ...
İnanır, Fatma Nur
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