Results 81 to 90 of about 185 (126)
More identities for Fibonacci and Lucas quaternions
, 2020 In this paper, we define the associate matrix as% \begin{equation*} F=\left( \begin{array}{cc} 1+i+2j+3k & i+j+2k \\ i+j+2k & 1+j+k% \end{array}% \right) . \end{equation*}% By the means of the matrix F , we give several identities
Irmak, Nurettin
core
On Jacobsthal and Jacobsthal-Lucas Octonions
, 2017 Various families of quaternion and octonion number sequences (such as Fibonacci quaternion, Fibonacci octonion, and so on) have been established by a number of authors in many different ways.
ÇİMEN, CENNET, Ipek, Ahmet
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Kompleks fibonacci p-sayıları ve fibonacci-p kuaterniyonları
, 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-
NAZMİYE FEYZA YALÇIN
core
Algebraic properties of some special quaternion sequences and polynomials
, 2020 YÖK Tez No: 648171Bu çalışmada ilk olarak bazı özel sayı dizileri, polinomları ve kuaterniyonlarının günümüze dek tarihsel süreci incelendi. Daha sonra üreteç matrislerin temelini oluşturan Q-matrisi hatırlatıldı. İkinci bölümde, yine özel sayı dizileri,
Kaplan, Faruk
core
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 ...
openaire +2 more sources
ON FIBONACCI AND LUCAS ELLIPTIC QUATERNIONS
Journal of Science and ArtsThis 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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3-D Reconstruction in Canonical Co-Ordinate Space From Arbitrarily Oriented 2-D Images. [PDF]
IEEE Trans Med Imaging, 2018 Hou B +9 more
europepmc +1 more source
Product Difference Fibonacci Identities Revisited: Quaternionic Generalizations of Everman and Koshy
In this paper, we investigate new identities involving generalized Fibonacci and Lucas sequences, as well as their associated quaternions. After establishing the fundamental properties of these generalized number sequences, we derive quaternionic ...
Demirturk, Bahar, Topal, Nazim
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