Results 71 to 80 of about 24,521 (128)
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
Bounds on the levels of composition algebras [PDF]
, 2010 Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely many new values for the level
James O'Shea +2 more
core +1 more source
Inertial Measurement of Head Tilt in Rodents: Principles and Applications to Vestibular Research. [PDF]
Sensors (Basel), 2021 Fayat R +7 more
europepmc +1 more source
Circular-hyperbolic Fibonacci quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 openaire +2 more sources
A class of Fibonacci ideal lattices in Z[zeta(12)]
, 2003 Politecn Torino, Dipartimento Elettron, I-10129 Turin, ItalyUNESP, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP, BrazilUNESP, Dept Matemat, BR-15054000 Sao Jose do Rio Preto, SP ...
Interlando, J. C., Elia, M.
core +3 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
openaire +1 more source
, 1981 The matrices of Fibonacci numbers (called windows) possess some unusual properties which are not shared by normal matrices, such as commutativity under multiplication and +1 for all determinants.
M.C. Er
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
Bi-periodic Fibonacci quaternions
, 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
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