Results 31 to 40 of about 56 (41)

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +1 more source

Quaternion Fractional Difference with Quaternionic Fractional Order and Applications to Fractional Difference Equation

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the basic notions of the fractional summation, difference and q-difference with the quaternionic fractional order for the quaternion-valued functions and establish some of their basic properties.
Wang Chao, Xie Weiyu, Agarwal Ravi P.
doaj   +1 more source

Orienteering with One Endomorphism. [PDF]

Mathematica (N Y), 2023
Arpin S, Chen M, Lauter KE, Scheidler R, Stange KE, Tran HTN.   +5 more
europepmc   +1 more source

Some inequalities for generalized eigenvalues of perturbation problems on Hermitian matrices. [PDF]

J Inequal Appl, 2018
Hong Y, Lim D, Qi F.
europepmc   +1 more source

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Duality Property of Two-Sided Quaternion Fourier Transform

International Conference on Wavelet Analysis and Pattern Recognition, 2018
An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion Fourier transform is presented. It is shown that the inverse of the two-sided quaternion Fourier transform is continuous and bounded on R 2.
M. Bahri, R. Ashino
semanticscholar   +1 more source

An Application According to Spatial Quaternionic Smarandache Curve

, 2015
In this paper, we found the Darboux vector of the spatial quaternionic curve according to the Frenet frame. Then, the curvature and torsion of the spatial quaternionic smarandache curve formed by the unit Darboux vector with the normal vector was ...
S. Şenyurt, Abdussamet Çalışkan
semanticscholar   +1 more source

On the quaternionic Smarandache curves in Euclidean 3-space

, 2013
In this paper, we give the definitions of quaternionic Smarandache curves in 3-dimensional Euclidean space 3 E and we investigate some differential geometric properties of these curves.
M. Cetin, H. Kocayiğit
semanticscholar   +1 more source

Some Useful Results Associated with Right-Sided Quaternion Fourier Transform

International Conference on Wavelet Analysis and Pattern Recognition, 2018
The uncertainty principles can be regarded as generalization of the uncertainty principles on complex Hilbert space. By applying the linear operators, it is shown that the right-sided quaternion Fourier transform is a unitary operator.
M. Bahri, R. Ashino
semanticscholar   +1 more source

The k-Fibonacci dual quaternions

, 2018
In this paper, k-Fibonacci dual quaternions are defined. Also, some algebraic properties of k-Fibonacci dual quaternions which are connected with k-Fibonacci numbers and Fibonacci numbers are investigated. Furthermore, d’Ocagne’s identity, the Honsberger
F. T. Aydın
semanticscholar   +1 more source

On a formula of Liouville type for the quadratic form x^2 + 2y^2 + 2z^2 + 4w^2

, 2013
We generalize the factorization of the classical Lipschitz quaternions to the Lipschitz type quaternions associated with the quaternary quadratic form x2 + 2y2 + 2z2 + 4w2.
C. Perng
semanticscholar   +1 more source