Results 81 to 90 of about 69,814 (147)

Bi-periodic Fibonacci quaternions [PDF]

, 2019
Bu çalışmada gerekli temel tanımlar verildikten sonra, iki periyodik Fibonacci ve Lucas kuaterniyon dizileri tanıtılmıştır. Daha sonra iki periyodik Fibonacci ve Lucas kuaterniyon dizilerinin üreteç fonksiyonları ve genel terimini içeren formülleri elde ...
Uluyol, Sevgi
core  

On the Pseudo-Fibonacci and Pseudo-Lucas Quaternions

Electronic Journal of Mathematical Analysis and Applications
Summary: There are a lot of quaternion numbers that are related to the Fibonacci and Lucas numbers or their generalizations have been described and extensively explored. The coefficients of these quaternions have been chosen from terms of Fibonacci and Lucas numbers.
Dişkaya, Orhan, Menken, Hamza
openaire   +2 more sources

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.
openaire   +4 more sources

Gelin-Cesáro identities for Fibonacci and Lucas quaternions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
To date, many identities of different quaternions, including the Fibonacci and Lucas quaternions, have been investigated. In this study, we present Gelin-Cesáro identities for Fibonacci and Lucas quaternions.
Ahmet Daşdemir
doaj  

On Generalized Fibospinomials: Generalized Fibonacci Polynomial Spinors

Symmetry
Spinors are important objects in physics, which have found their place more and more after the discovery that particles have an intrinsic angular momentum shape and Cartan’s mathematical expression of this situation.
E. Çolak, Nazmiye Gönül Bilgin, Y. Soykan   +2 more
semanticscholar   +1 more source

Hyperbolic (s,t)-Fibonacci and (s,t)-Lucas Quaternions

PROOF
In this study, we define hyperbolic (s,t)-Fibonacci and (s,t)-Lucas quaternions. For these hyperbolic quaternions, we give the special summation formulas, special generating functions, etc.
H. Akkuş, E. Ozkan
semanticscholar   +1 more source

Inertial Measurement of Head Tilt in Rodents: Principles and Applications to Vestibular Research. [PDF]

Sensors (Basel), 2021
Fayat R, Delgado Betancourt V, Goyallon T, Petremann M, Liaudet P, Descossy V, Reveret L, Dugué GP.   +7 more
europepmc   +1 more source

Sum and Weighted Sum Formulas for Fibonacci and Lucas Quaternions

Aksaray University Journal of Science and Engineering
Fibonacci and Lucas quaternions are deeply studied in the literature after its definition by Horadam in 1963. Binet formula, generation function, Cassini, Catalan, Honsberger, and other identities for these sequences studied in different quaternion ...
Adnan Karataş
semanticscholar   +1 more source

Dual quaternion theory over HGC numbers

Journal of Discrete Mathematical Sciences & Cryptography
Knowing the applications of quaternions in various fields, such as robotics, navigation, computer visualization and animation, in this study, we give the theory of dual quaternions considering Hyperbolic-Generalized Complex (HGC)  numbers as coefficients
G. Şentürk, N. Gürses
semanticscholar   +1 more source

On Fibonacci Spinors

, 2020
Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.Spinors are used in physics quite extensively. Basically, the forms of use include Dirac four-spinors, Pauli three-spinors and quaternions.
Erisir, Tulay/, Gungor, Mehmet Ali, Erisir, Tulay   +2 more
core   +1 more source