Results 21 to 30 of about 56 (41)

Some properties of complex quaternion and complex split quaternion matrices

, 2019
The aim of this study is to investigate some properties of complex quaternion and complex split quaternion matrices. To verify this, we use 2x2 complex matrix representation of these quaternions.
Y. Alagöz, G. Özyurt
semanticscholar   +1 more source

On some Properties of Tribonacci Quaternions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them.
Akkus Ilker, Kızılaslan Gonca
doaj   +1 more source

Spherical Indicatrix Curves of Spatial Quaternionic Curves

, 2015
In this paper, the spherical indicatrix curves drawn by quaternionic frenet vectors are computed. Also the quaternionic geodesic curvatures of the spherical indicatrix curves to E3 and S2 are found.
S. Şenyurt, L. Grilli
semanticscholar   +1 more source

On hyperbolic k-Pell quaternions sequences

, 2018
In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
P. Catarino
semanticscholar   +1 more source

GOLDEN QUATERNIONIC STRUCTURES

, 2014
In this paper, we introduce the concept of Golden quaternion and then show that we cannot have golden quaternions, golden dual quaternions and golden hyperbolic quaternions.
Elif Hatice Yardımcı, Y. Yaylı, M. Ersoy   +2 more
semanticscholar   +1 more source

Quadratic phase S-Transform: Properties and uncertainty principles

e-Prime: Advances in Electrical Engineering, Electronics and Energy, 2023
In this paper, a novel quadratic phase S-transform (QPST) is proposed, by generalizing the S-transform (ST) with five parameters a, b, c,d and e. QPST displays the time and quadratic phase domain-frequency information jointly in the time-frequency plane.
M. Younus Bhat, Aamir H. Dar
doaj  

Module supersingulier, formule de Gross–Kudla et points rationnels de courbes modulaires

, 2008
We show how the formula of Gross and Kudla about triple product Lfunctions allows us to construct degree zero elements of the supersingular module annihilated by the winding ideal.
M. Rebolledo
semanticscholar   +1 more source

A Short Note on Universality of Some Quadratic Forms

, 2013
In a paper by J. Deutsch [1], a quaternionic proof of the universality of seven quaternary quadratic forms was given. The proof relies on a construction very similar to that of Hurwitz quaternions, and its associated division algorithm.
C. Perng
semanticscholar   +1 more source

On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
doaj   +1 more source

Integral theorems for the quaternionic G-monogenic mappings

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
doaj   +1 more source