Results 21 to 30 of about 6,678 (298)
Obtaining triplet from quaternions
, 2021 In this study, we obtain triplets from quaternions. First, we obtain triplets from real quaternions. Then, as an application of this, we obtain dual triplets from the dual quaternions.
Atasoy, Ali, Yaylı, Yusuf
core +1 more source
Sextonians and the magic square [PDF]
, 2006 Associated to any complex simple Lie algebra is a non-reductive complex Lie algebra which we call the intermediate Lie algebra. We propose that these algebras can be included in both the magic square and the magic triangle to give an additional row and ...
BRUCE W. WESTBURY, Westbury, Bruce
core +1 more source
, 2021 In this paper, we define and study another interesting generalization of the Fibonacci quaternions is called k-order Fibonacci quaternions. Then we obtain for k = 2 Fibonacci quaternions, for k = 3 Tribonacci quaternions and for k = 4 Tetranacci ...
Asci, Mustafa, Aydinyuz, Suleyman
core +1 more source
On split Narayana and Narayana-Lucas hybrid quaternions [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we introduce the novel concepts of split Narayana quaternions and split Narayana-Lucas quaternions within the innovative framework of hybrid numbers.
Pankaj Kumar, Shilpa Kapoor
doaj +1 more source
Unrestricted Tribonacci and Tribonacci–Lucas quaternions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 We define a generalization of Tribonacci and Tribonacci–Lucas quaternions with arbitrary Tribonacci numbers and Tribonacci–Lucas numbers coefficients, respectively. We get generating functions and Binet's formulas for these quaternions.
Gonca Kızılaslan, Leyla Karabulut
doaj +1 more source
Quaternion CR‐submanifolds of a quaternion Kaehler manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We study the quaternion CR‐submanifolds of a quaternion Kaehler manifold. More specifically we study the properties of the canonical structures and the geometry of the canonical foliations by using the Bott connection and the index of a quaternion CR‐submanifold.
Bassil J. Papantoniou, M. Hasan Shahid
openaire +2 more sources
On complex gaussian jacobsthal and jacobsthal-lucas quaternions
Cumhuriyet Science Journal, 2020 The main aim of this work is to introduce the complex Gaussian Jacobsthal and Jacobsthal-Lucas quaternions and investigate their structures. We obtain the recurrence relations, Binet formulas and generating functions for these quaternions.
Hasan Arslan
doaj +1 more source
International Journal of Pure and Apllied Mathematics, 2014 Physics is in its development a major challenge to relate fields, this paper presents a proposal to relate classical fields of physics, ie the electric field, magnetic field and gravitational equations by time-dependent. The proposal begins with the work that determines the Cauchy-Riemann conditions for quaternions [1], and the determination of Laplace’
Marão, José Antonio Pires +1 more
openaire +3 more sources
Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
doaj +1 more source