Results 31 to 40 of about 48 (47)

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

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

Fibonacci Cartan and Lucas Cartan numbers

Open Mathematics
This study introduces Fibonacci Cartan and Lucas Cartan numbers, extending the classical Fibonacci and Lucas sequences into the framework of Cartan numbers.
Öztürk İskender, Çakır Hasan
doaj   +1 more source

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-Based Representation of Rotation Minimizing Motions in Euclidean 3-space

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
This paper presents a quaternion-based framework for constructing rotation-minimizing motions in Euclidean 3-space, formulated via quaternion operator. By introducing a novel quaternion operator, we derive angular velocity representations directly from ...
Aksar Murat, Yaylı Yusuf
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

Some of the next articles are maybe not open access.

Related searches:

G-monogenic mappings in a three-dimensional noncommutative algebra

Complex Variables and Elliptic Equations, 2022
Tetiana Kuzmenko, Vitalii Shpakivskyi
exaly  

Why Hamilton Couldn’t Multiply Triples

College Mathematics Journal, 2021
Ezra Brown
exaly  

Characterizations of automorphic and anti-automorphic involutions of the quaternions

Linear and Multilinear Algebra, 2021
Jimmie Lawson, E Kizil
exaly